# How do you find the volume of the solid generated when the regions bounded by the graphs of the given equations #y = root3x#, x = 0, x = 8 and the x-axis are rotated about the x-axis?

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(x =To find the volume of the solid generated when the region bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8\To find the volume of the solid generated when the regions bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = To find the volume of the solid generated when the region bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8),To find the volume of the solid generated when the regions bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8\To find the volume of the solid generated when the region bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), andTo find the volume of the solid generated when the regions bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8),To find the volume of the solid generated when the region bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the xTo find the volume of the solid generated when the regions bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and theTo find the volume of the solid generated when the region bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axisTo find the volume of the solid generated when the regions bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the xTo find the volume of the solid generated when the region bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis isTo find the volume of the solid generated when the regions bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axisTo find the volume of the solid generated when the region bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis is rotatedTo find the volume of the solid generated when the regions bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis are rotatedTo find the volume of the solid generated when the region bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis is rotated about theTo find the volume of the solid generated when the regions bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis are rotated about theTo find the volume of the solid generated when the region bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis is rotated about the xTo find the volume of the solid generated when the regions bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis are rotated about the xTo find the volume of the solid generated when the region bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis is rotated about the x-axisTo find the volume of the solid generated when the regions bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis are rotated about the x-axis,To find the volume of the solid generated when the region bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis is rotated about the x-axis,To find the volume of the solid generated when the regions bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis are rotated about the x-axis, youTo find the volume of the solid generated when the region bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis is rotated about the x-axis, youTo find the volume of the solid generated when the regions bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis are rotated about the x-axis, you canTo find the volume of the solid generated when the region bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis is rotated about the x-axis, you canTo find the volume of the solid generated when the regions bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis are rotated about the x-axis, you can useTo find the volume of the solid generated when the region bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis is rotated about the x-axis, you can useTo find the volume of the solid generated when the regions bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis are rotated about the x-axis, you can use theTo find the volume of the solid generated when the region bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis is rotated about the x-axis, you can use theTo find the volume of the solid generated when the regions bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis are rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) of the solid isTo find the volume of the solid generated when the region bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis is rotated about the x-axis, you can use the methodTo find the volume of the solid generated when the regions bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis are rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) of the solid is givenTo find the volume of the solid generated when the region bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis is rotated about the x-axis, you can use the method ofTo find the volume of the solid generated when the regions bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis are rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) of the solid is given by the formulaTo find the volume of the solid generated when the region bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis is rotated about the x-axis, you can use the method of cylindricalTo find the volume of the solid generated when the regions bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis are rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) of the solid is given by the formula:

To find the volume of the solid generated when the region bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis is rotated about the x-axis, you can use the method of cylindrical shellsTo find the volume of the solid generated when the regions bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis are rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) of the solid is given by the formula:

[VTo find the volume of the solid generated when the region bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis is rotated about the x-axis, you can use the method of cylindrical shells.To find the volume of the solid generated when the regions bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis are rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) of the solid is given by the formula:

[V = To find the volume of the solid generated when the region bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis is rotated about the x-axis, you can use the method of cylindrical shells.

To find the volume of the solid generated when the regions bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis are rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) of the solid is given by the formula:

[V = 2\To find the volume of the solid generated when the region bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis is rotated about the x-axis, you can use the method of cylindrical shells.

TheTo find the volume of the solid generated when the regions bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis are rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) of the solid is given by the formula:

[V = 2\pi \intTo find the volume of the solid generated when the region bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis is rotated about the x-axis, you can use the method of cylindrical shells.

The volumeTo find the volume of the solid generated when the regions bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis are rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) of the solid is given by the formula:

[V = 2\pi \int_{To find the volume of the solid generated when the region bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis is rotated about the x-axis, you can use the method of cylindrical shells.

The volume (To find the volume of the solid generated when the regions bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis are rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) of the solid is given by the formula:

[V = 2\pi \int_{aTo find the volume of the solid generated when the region bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis is rotated about the x-axis, you can use the method of cylindrical shells.

The volume (VTo find the volume of the solid generated when the regions bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis are rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) of the solid is given by the formula:

[V = 2\pi \int_{a}To find the volume of the solid generated when the region bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis is rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V)To find the volume of the solid generated when the regions bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis are rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) of the solid is given by the formula:

[V = 2\pi \int_{a}^{To find the volume of the solid generated when the region bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis is rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) canTo find the volume of the solid generated when the regions bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis are rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) of the solid is given by the formula:

[V = 2\pi \int_{a}^{b}To find the volume of the solid generated when the region bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis is rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) can be calculated using the formula:

[ V =To find the volume of the solid generated when the regions bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis are rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) of the solid is given by the formula:

[V = 2\pi \int_{a}^{b} xTo find the volume of the solid generated when the region bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis is rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) can be calculated using the formula:

[ V = \To find the volume of the solid generated when the regions bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis are rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) of the solid is given by the formula:

[V = 2\pi \int_{a}^{b} x \To find the volume of the solid generated when the region bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis is rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) can be calculated using the formula:

[ V = \intTo find the volume of the solid generated when the regions bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis are rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) of the solid is given by the formula:

[V = 2\pi \int_{a}^{b} x \cdotTo find the volume of the solid generated when the region bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis is rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) can be calculated using the formula:

[ V = \int_{To find the volume of the solid generated when the regions bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis are rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) of the solid is given by the formula:

[V = 2\pi \int_{a}^{b} x \cdot fTo find the volume of the solid generated when the region bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis is rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) can be calculated using the formula:

[ V = \int_{aTo find the volume of the solid generated when the regions bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis are rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) of the solid is given by the formula:

[V = 2\pi \int_{a}^{b} x \cdot f(xTo find the volume of the solid generated when the region bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis is rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) can be calculated using the formula:

[ V = \int_{a}To find the volume of the solid generated when the regions bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis are rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) of the solid is given by the formula:

[V = 2\pi \int_{a}^{b} x \cdot f(x)To find the volume of the solid generated when the region bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis is rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) can be calculated using the formula:

[ V = \int_{a}^{To find the volume of the solid generated when the regions bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis are rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) of the solid is given by the formula:

[V = 2\pi \int_{a}^{b} x \cdot f(x) \To find the volume of the solid generated when the region bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis is rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) can be calculated using the formula:

[ V = \int_{a}^{bTo find the volume of the solid generated when the regions bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis are rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) of the solid is given by the formula:

[V = 2\pi \int_{a}^{b} x \cdot f(x) ,To find the volume of the solid generated when the region bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis is rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) can be calculated using the formula:

[ V = \int_{a}^{b}To find the volume of the solid generated when the regions bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis are rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) of the solid is given by the formula:

[V = 2\pi \int_{a}^{b} x \cdot f(x) , dxTo find the volume of the solid generated when the region bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis is rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) can be calculated using the formula:

[ V = \int_{a}^{b} To find the volume of the solid generated when the regions bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis are rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) of the solid is given by the formula:

[V = 2\pi \int_{a}^{b} x \cdot f(x) , dx\To find the volume of the solid generated when the region bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis is rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) can be calculated using the formula:

[ V = \int_{a}^{b} 2To find the volume of the solid generated when the regions bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis are rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) of the solid is given by the formula:

[V = 2\pi \int_{a}^{b} x \cdot f(x) , dx]

To find the volume of the solid generated when the region bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis is rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) can be calculated using the formula:

[ V = \int_{a}^{b} 2\To find the volume of the solid generated when the regions bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis are rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) of the solid is given by the formula:

[V = 2\pi \int_{a}^{b} x \cdot f(x) , dx]

whereTo find the volume of the solid generated when the region bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis is rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) can be calculated using the formula:

[ V = \int_{a}^{b} 2\piTo find the volume of the solid generated when the regions bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis are rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) of the solid is given by the formula:

[V = 2\pi \int_{a}^{b} x \cdot f(x) , dx]

where (aTo find the volume of the solid generated when the region bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis is rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) can be calculated using the formula:

[ V = \int_{a}^{b} 2\pi xTo find the volume of the solid generated when the regions bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis are rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) of the solid is given by the formula:

[V = 2\pi \int_{a}^{b} x \cdot f(x) , dx]

where (a)To find the volume of the solid generated when the region bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis is rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) can be calculated using the formula:

[ V = \int_{a}^{b} 2\pi x fTo find the volume of the solid generated when the regions bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis are rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) of the solid is given by the formula:

[V = 2\pi \int_{a}^{b} x \cdot f(x) , dx]

where (a) andTo find the volume of the solid generated when the region bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis is rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) can be calculated using the formula:

[ V = \int_{a}^{b} 2\pi x f(xTo find the volume of the solid generated when the regions bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis are rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) of the solid is given by the formula:

[V = 2\pi \int_{a}^{b} x \cdot f(x) , dx]

where (a) and (To find the volume of the solid generated when the region bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis is rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) can be calculated using the formula:

[ V = \int_{a}^{b} 2\pi x f(x)To find the volume of the solid generated when the regions bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis are rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) of the solid is given by the formula:

[V = 2\pi \int_{a}^{b} x \cdot f(x) , dx]

where (a) and (bTo find the volume of the solid generated when the region bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis is rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) can be calculated using the formula:

[ V = \int_{a}^{b} 2\pi x f(x) \To find the volume of the solid generated when the regions bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis are rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) of the solid is given by the formula:

[V = 2\pi \int_{a}^{b} x \cdot f(x) , dx]

where (a) and (b)To find the volume of the solid generated when the region bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis is rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) can be calculated using the formula:

[ V = \int_{a}^{b} 2\pi x f(x) ,To find the volume of the solid generated when the regions bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis are rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) of the solid is given by the formula:

[V = 2\pi \int_{a}^{b} x \cdot f(x) , dx]

where (a) and (b) areTo find the volume of the solid generated when the region bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis is rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) can be calculated using the formula:

[ V = \int_{a}^{b} 2\pi x f(x) , dxTo find the volume of the solid generated when the regions bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis are rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) of the solid is given by the formula:

[V = 2\pi \int_{a}^{b} x \cdot f(x) , dx]

where (a) and (b) are the xTo find the volume of the solid generated when the region bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis is rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) can be calculated using the formula:

[ V = \int_{a}^{b} 2\pi x f(x) , dx \To find the volume of the solid generated when the regions bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis are rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) of the solid is given by the formula:

[V = 2\pi \int_{a}^{b} x \cdot f(x) , dx]

where (a) and (b) are the x-valuesTo find the volume of the solid generated when the region bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis is rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) can be calculated using the formula:

[ V = \int_{a}^{b} 2\pi x f(x) , dx ]

To find the volume of the solid generated when the regions bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis are rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) of the solid is given by the formula:

[V = 2\pi \int_{a}^{b} x \cdot f(x) , dx]

where (a) and (b) are the x-values where theTo find the volume of the solid generated when the region bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis is rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) can be calculated using the formula:

[ V = \int_{a}^{b} 2\pi x f(x) , dx ]

whereTo find the volume of the solid generated when the regions bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis are rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) of the solid is given by the formula:

[V = 2\pi \int_{a}^{b} x \cdot f(x) , dx]

where (a) and (b) are the x-values where the curvesTo find the volume of the solid generated when the region bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis is rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) can be calculated using the formula:

[ V = \int_{a}^{b} 2\pi x f(x) , dx ]

where (To find the volume of the solid generated when the regions bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis are rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) of the solid is given by the formula:

[V = 2\pi \int_{a}^{b} x \cdot f(x) , dx]

where (a) and (b) are the x-values where the curves intersectTo find the volume of the solid generated when the region bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis is rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) can be calculated using the formula:

[ V = \int_{a}^{b} 2\pi x f(x) , dx ]

where (aTo find the volume of the solid generated when the regions bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis are rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) of the solid is given by the formula:

[V = 2\pi \int_{a}^{b} x \cdot f(x) , dx]

where (a) and (b) are the x-values where the curves intersect,To find the volume of the solid generated when the region bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis is rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) can be calculated using the formula:

[ V = \int_{a}^{b} 2\pi x f(x) , dx ]

where (a)To find the volume of the solid generated when the regions bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis are rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) of the solid is given by the formula:

[V = 2\pi \int_{a}^{b} x \cdot f(x) , dx]

where (a) and (b) are the x-values where the curves intersect, andTo find the volume of the solid generated when the region bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis is rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) can be calculated using the formula:

[ V = \int_{a}^{b} 2\pi x f(x) , dx ]

where (a) andTo find the volume of the solid generated when the regions bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis are rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) of the solid is given by the formula:

[V = 2\pi \int_{a}^{b} x \cdot f(x) , dx]

where (a) and (b) are the x-values where the curves intersect, and (To find the volume of the solid generated when the region bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis is rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) can be calculated using the formula:

[ V = \int_{a}^{b} 2\pi x f(x) , dx ]

where (a) and (To find the volume of the solid generated when the regions bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis are rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) of the solid is given by the formula:

[V = 2\pi \int_{a}^{b} x \cdot f(x) , dx]

where (a) and (b) are the x-values where the curves intersect, and (fTo find the volume of the solid generated when the region bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis is rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) can be calculated using the formula:

[ V = \int_{a}^{b} 2\pi x f(x) , dx ]

where (a) and (bTo find the volume of the solid generated when the regions bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis are rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) of the solid is given by the formula:

[V = 2\pi \int_{a}^{b} x \cdot f(x) , dx]

where (a) and (b) are the x-values where the curves intersect, and (f(xTo find the volume of the solid generated when the region bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis is rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) can be calculated using the formula:

[ V = \int_{a}^{b} 2\pi x f(x) , dx ]

where (a) and (b)To find the volume of the solid generated when the regions bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis are rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) of the solid is given by the formula:

[V = 2\pi \int_{a}^{b} x \cdot f(x) , dx]

where (a) and (b) are the x-values where the curves intersect, and (f(x)\To find the volume of the solid generated when the region bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis is rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) can be calculated using the formula:

[ V = \int_{a}^{b} 2\pi x f(x) , dx ]

where (a) and (b) areTo find the volume of the solid generated when the regions bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis are rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) of the solid is given by the formula:

[V = 2\pi \int_{a}^{b} x \cdot f(x) , dx]

where (a) and (b) are the x-values where the curves intersect, and (f(x))To find the volume of the solid generated when the region bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis is rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) can be calculated using the formula:

[ V = \int_{a}^{b} 2\pi x f(x) , dx ]

where (a) and (b) are theTo find the volume of the solid generated when the regions bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis are rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) of the solid is given by the formula:

[V = 2\pi \int_{a}^{b} x \cdot f(x) , dx]

where (a) and (b) are the x-values where the curves intersect, and (f(x)) is theTo find the volume of the solid generated when the region bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis is rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) can be calculated using the formula:

[ V = \int_{a}^{b} 2\pi x f(x) , dx ]

where (a) and (b) are the limits ofTo find the volume of the solid generated when the regions bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis are rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) of the solid is given by the formula:

[V = 2\pi \int_{a}^{b} x \cdot f(x) , dx]

where (a) and (b) are the x-values where the curves intersect, and (f(x)) is the height of theTo find the volume of the solid generated when the region bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis is rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) can be calculated using the formula:

[ V = \int_{a}^{b} 2\pi x f(x) , dx ]

where (a) and (b) are the limits of integrationTo find the volume of the solid generated when the regions bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis are rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) of the solid is given by the formula:

[V = 2\pi \int_{a}^{b} x \cdot f(x) , dx]

where (a) and (b) are the x-values where the curves intersect, and (f(x)) is the height of the shellTo find the volume of the solid generated when the region bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis is rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) can be calculated using the formula:

[ V = \int_{a}^{b} 2\pi x f(x) , dx ]

where (a) and (b) are the limits of integration,To find the volume of the solid generated when the regions bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis are rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) of the solid is given by the formula:

[V = 2\pi \int_{a}^{b} x \cdot f(x) , dx]

where (a) and (b) are the x-values where the curves intersect, and (f(x)) is the height of the shell atTo find the volume of the solid generated when the region bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis is rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) can be calculated using the formula:

[ V = \int_{a}^{b} 2\pi x f(x) , dx ]

where (a) and (b) are the limits of integration, andTo find the volume of the solid generated when the regions bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis are rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) of the solid is given by the formula:

[V = 2\pi \int_{a}^{b} x \cdot f(x) , dx]

where (a) and (b) are the x-values where the curves intersect, and (f(x)) is the height of the shell at eachTo find the volume of the solid generated when the region bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis is rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) can be calculated using the formula:

[ V = \int_{a}^{b} 2\pi x f(x) , dx ]

where (a) and (b) are the limits of integration, and (To find the volume of the solid generated when the regions bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis are rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) of the solid is given by the formula:

[V = 2\pi \int_{a}^{b} x \cdot f(x) , dx]

where (a) and (b) are the x-values where the curves intersect, and (f(x)) is the height of the shell at each xTo find the volume of the solid generated when the region bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis is rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) can be calculated using the formula:

[ V = \int_{a}^{b} 2\pi x f(x) , dx ]

where (a) and (b) are the limits of integration, and (fTo find the volume of the solid generated when the regions bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis are rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) of the solid is given by the formula:

[V = 2\pi \int_{a}^{b} x \cdot f(x) , dx]

where (a) and (b) are the x-values where the curves intersect, and (f(x)) is the height of the shell at each x-value.

To find the volume of the solid generated when the region bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis is rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) can be calculated using the formula:

[ V = \int_{a}^{b} 2\pi x f(x) , dx ]

where (a) and (b) are the limits of integration, and (f(xTo find the volume of the solid generated when the regions bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis are rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) of the solid is given by the formula:

[V = 2\pi \int_{a}^{b} x \cdot f(x) , dx]

where (a) and (b) are the x-values where the curves intersect, and (f(x)) is the height of the shell at each x-value.

InTo find the volume of the solid generated when the region bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis is rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) can be calculated using the formula:

[ V = \int_{a}^{b} 2\pi x f(x) , dx ]

where (a) and (b) are the limits of integration, and (f(x)\To find the volume of the solid generated when the regions bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis are rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) of the solid is given by the formula:

[V = 2\pi \int_{a}^{b} x \cdot f(x) , dx]

where (a) and (b) are the x-values where the curves intersect, and (f(x)) is the height of the shell at each x-value.

In this caseTo find the volume of the solid generated when the region bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis is rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) can be calculated using the formula:

[ V = \int_{a}^{b} 2\pi x f(x) , dx ]

where (a) and (b) are the limits of integration, and (f(x))To find the volume of the solid generated when the regions bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis are rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) of the solid is given by the formula:

[V = 2\pi \int_{a}^{b} x \cdot f(x) , dx]

In this case,To find the volume of the solid generated when the region bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis is rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) can be calculated using the formula:

[ V = \int_{a}^{b} 2\pi x f(x) , dx ]

where (a) and (b) are the limits of integration, and (f(x)) representsTo find the volume of the solid generated when the regions bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis are rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) of the solid is given by the formula:

[V = 2\pi \int_{a}^{b} x \cdot f(x) , dx]

In this case, theTo find the volume of the solid generated when the region bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis is rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) can be calculated using the formula:

[ V = \int_{a}^{b} 2\pi x f(x) , dx ]

where (a) and (b) are the limits of integration, and (f(x)) represents theTo find the volume of the solid generated when the regions bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis are rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) of the solid is given by the formula:

[V = 2\pi \int_{a}^{b} x \cdot f(x) , dx]

In this case, the curves intersectTo find the volume of the solid generated when the region bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis is rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) can be calculated using the formula:

[ V = \int_{a}^{b} 2\pi x f(x) , dx ]

where (a) and (b) are the limits of integration, and (f(x)) represents the functionTo find the volume of the solid generated when the regions bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis are rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) of the solid is given by the formula:

[V = 2\pi \int_{a}^{b} x \cdot f(x) , dx]

In this case, the curves intersect atTo find the volume of the solid generated when the region bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis is rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) can be calculated using the formula:

[ V = \int_{a}^{b} 2\pi x f(x) , dx ]

where (a) and (b) are the limits of integration, and (f(x)) represents the function describingTo find the volume of the solid generated when the regions bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis are rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) of the solid is given by the formula:

[V = 2\pi \int_{a}^{b} x \cdot f(x) , dx]

In this case, the curves intersect at (To find the volume of the solid generated when the region bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis is rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) can be calculated using the formula:

[ V = \int_{a}^{b} 2\pi x f(x) , dx ]

where (a) and (b) are the limits of integration, and (f(x)) represents the function describing theTo find the volume of the solid generated when the regions bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis are rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) of the solid is given by the formula:

[V = 2\pi \int_{a}^{b} x \cdot f(x) , dx]

In this case, the curves intersect at (xTo find the volume of the solid generated when the region bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis is rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) can be calculated using the formula:

[ V = \int_{a}^{b} 2\pi x f(x) , dx ]

where (a) and (b) are the limits of integration, and (f(x)) represents the function describing the heightTo find the volume of the solid generated when the regions bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis are rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) of the solid is given by the formula:

[V = 2\pi \int_{a}^{b} x \cdot f(x) , dx]

In this case, the curves intersect at (x = 0To find the volume of the solid generated when the region bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis is rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) can be calculated using the formula:

[ V = \int_{a}^{b} 2\pi x f(x) , dx ]

where (a) and (b) are the limits of integration, and (f(x)) represents the function describing the height of the shell at each point.

ForTo find the volume of the solid generated when the regions bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis are rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) of the solid is given by the formula:

[V = 2\pi \int_{a}^{b} x \cdot f(x) , dx]

In this case, the curves intersect at (x = 0) andTo find the volume of the solid generated when the region bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis is rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) can be calculated using the formula:

[ V = \int_{a}^{b} 2\pi x f(x) , dx ]

where (a) and (b) are the limits of integration, and (f(x)) represents the function describing the height of the shell at each point.

For this problemTo find the volume of the solid generated when the regions bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis are rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) of the solid is given by the formula:

[V = 2\pi \int_{a}^{b} x \cdot f(x) , dx]

In this case, the curves intersect at (x = 0) and (To find the volume of the solid generated when the region bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis is rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) can be calculated using the formula:

[ V = \int_{a}^{b} 2\pi x f(x) , dx ]

where (a) and (b) are the limits of integration, and (f(x)) represents the function describing the height of the shell at each point.

For this problem,To find the volume of the solid generated when the regions bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis are rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) of the solid is given by the formula:

[V = 2\pi \int_{a}^{b} x \cdot f(x) , dx]

In this case, the curves intersect at (x = 0) and (xTo find the volume of the solid generated when the region bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis is rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) can be calculated using the formula:

[ V = \int_{a}^{b} 2\pi x f(x) , dx ]

For this problem, (To find the volume of the solid generated when the regions bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis are rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) of the solid is given by the formula:

[V = 2\pi \int_{a}^{b} x \cdot f(x) , dx]

In this case, the curves intersect at (x = 0) and (x = To find the volume of the solid generated when the region bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis is rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) can be calculated using the formula:

[ V = \int_{a}^{b} 2\pi x f(x) , dx ]

For this problem, (aTo find the volume of the solid generated when the regions bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis are rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) of the solid is given by the formula:

[V = 2\pi \int_{a}^{b} x \cdot f(x) , dx]

In this case, the curves intersect at (x = 0) and (x = 8To find the volume of the solid generated when the region bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis is rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) can be calculated using the formula:

[ V = \int_{a}^{b} 2\pi x f(x) , dx ]

For this problem, (a =To find the volume of the solid generated when the regions bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis are rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) of the solid is given by the formula:

[V = 2\pi \int_{a}^{b} x \cdot f(x) , dx]

In this case, the curves intersect at (x = 0) and (x = 8\To find the volume of the solid generated when the region bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis is rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) can be calculated using the formula:

[ V = \int_{a}^{b} 2\pi x f(x) , dx ]

For this problem, (a = To find the volume of the solid generated when the regions bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis are rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) of the solid is given by the formula:

[V = 2\pi \int_{a}^{b} x \cdot f(x) , dx]

In this case, the curves intersect at (x = 0) and (x = 8), soTo find the volume of the solid generated when the region bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis is rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) can be calculated using the formula:

[ V = \int_{a}^{b} 2\pi x f(x) , dx ]

For this problem, (a = 0To find the volume of the solid generated when the regions bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis are rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) of the solid is given by the formula:

[V = 2\pi \int_{a}^{b} x \cdot f(x) , dx]

In this case, the curves intersect at (x = 0) and (x = 8), so theTo find the volume of the solid generated when the region bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis is rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) can be calculated using the formula:

[ V = \int_{a}^{b} 2\pi x f(x) , dx ]

For this problem, (a = 0)To find the volume of the solid generated when the regions bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis are rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) of the solid is given by the formula:

[V = 2\pi \int_{a}^{b} x \cdot f(x) , dx]

In this case, the curves intersect at (x = 0) and (x = 8), so the integralTo find the volume of the solid generated when the region bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis is rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) can be calculated using the formula:

[ V = \int_{a}^{b} 2\pi x f(x) , dx ]

For this problem, (a = 0) andTo find the volume of the solid generated when the regions bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis are rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) of the solid is given by the formula:

[V = 2\pi \int_{a}^{b} x \cdot f(x) , dx]

In this case, the curves intersect at (x = 0) and (x = 8), so the integral becomes:

To find the volume of the solid generated when the region bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis is rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) can be calculated using the formula:

[ V = \int_{a}^{b} 2\pi x f(x) , dx ]

For this problem, (a = 0) and (To find the volume of the solid generated when the regions bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis are rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) of the solid is given by the formula:

[V = 2\pi \int_{a}^{b} x \cdot f(x) , dx]

In this case, the curves intersect at (x = 0) and (x = 8), so the integral becomes:

[To find the volume of the solid generated when the region bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis is rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) can be calculated using the formula:

[ V = \int_{a}^{b} 2\pi x f(x) , dx ]

For this problem, (a = 0) and (bTo find the volume of the solid generated when the regions bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis are rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) of the solid is given by the formula:

[V = 2\pi \int_{a}^{b} x \cdot f(x) , dx]

In this case, the curves intersect at (x = 0) and (x = 8), so the integral becomes:

[VTo find the volume of the solid generated when the region bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis is rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) can be calculated using the formula:

[ V = \int_{a}^{b} 2\pi x f(x) , dx ]

For this problem, (a = 0) and (b =To find the volume of the solid generated when the regions bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis are rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) of the solid is given by the formula:

[V = 2\pi \int_{a}^{b} x \cdot f(x) , dx]

In this case, the curves intersect at (x = 0) and (x = 8), so the integral becomes:

[V =To find the volume of the solid generated when the region bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis is rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) can be calculated using the formula:

[ V = \int_{a}^{b} 2\pi x f(x) , dx ]

For this problem, (a = 0) and (b = To find the volume of the solid generated when the regions bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis are rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) of the solid is given by the formula:

[V = 2\pi \int_{a}^{b} x \cdot f(x) , dx]

In this case, the curves intersect at (x = 0) and (x = 8), so the integral becomes:

[V = 2To find the volume of the solid generated when the region bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis is rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) can be calculated using the formula:

[ V = \int_{a}^{b} 2\pi x f(x) , dx ]

For this problem, (a = 0) and (b = 8\To find the volume of the solid generated when the regions bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis are rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) of the solid is given by the formula:

[V = 2\pi \int_{a}^{b} x \cdot f(x) , dx]

In this case, the curves intersect at (x = 0) and (x = 8), so the integral becomes:

[V = 2\piTo find the volume of the solid generated when the region bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis is rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) can be calculated using the formula:

[ V = \int_{a}^{b} 2\pi x f(x) , dx ]

For this problem, (a = 0) and (b = 8), andTo find the volume of the solid generated when the regions bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis are rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) of the solid is given by the formula:

[V = 2\pi \int_{a}^{b} x \cdot f(x) , dx]

In this case, the curves intersect at (x = 0) and (x = 8), so the integral becomes:

[V = 2\pi \To find the volume of the solid generated when the region bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis is rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) can be calculated using the formula:

[ V = \int_{a}^{b} 2\pi x f(x) , dx ]

For this problem, (a = 0) and (b = 8), and (fTo find the volume of the solid generated when the regions bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis are rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) of the solid is given by the formula:

[V = 2\pi \int_{a}^{b} x \cdot f(x) , dx]

In this case, the curves intersect at (x = 0) and (x = 8), so the integral becomes:

[V = 2\pi \int_{To find the volume of the solid generated when the region bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis is rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) can be calculated using the formula:

[ V = \int_{a}^{b} 2\pi x f(x) , dx ]

For this problem, (a = 0) and (b = 8), and (f(xTo find the volume of the solid generated when the regions bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis are rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) of the solid is given by the formula:

[V = 2\pi \int_{a}^{b} x \cdot f(x) , dx]

In this case, the curves intersect at (x = 0) and (x = 8), so the integral becomes:

[V = 2\pi \int_{0To find the volume of the solid generated when the region bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis is rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) can be calculated using the formula:

[ V = \int_{a}^{b} 2\pi x f(x) , dx ]

For this problem, (a = 0) and (b = 8), and (f(x) =To find the volume of the solid generated when the regions bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis are rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) of the solid is given by the formula:

[V = 2\pi \int_{a}^{b} x \cdot f(x) , dx]

In this case, the curves intersect at (x = 0) and (x = 8), so the integral becomes:

[V = 2\pi \int_{0}^{To find the volume of the solid generated when the region bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis is rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) can be calculated using the formula:

[ V = \int_{a}^{b} 2\pi x f(x) , dx ]

For this problem, (a = 0) and (b = 8), and (f(x) = \sqrtTo find the volume of the solid generated when the regions bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis are rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) of the solid is given by the formula:

[V = 2\pi \int_{a}^{b} x \cdot f(x) , dx]

In this case, the curves intersect at (x = 0) and (x = 8), so the integral becomes:

[V = 2\pi \int_{0}^{8}To find the volume of the solid generated when the region bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis is rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) can be calculated using the formula:

[ V = \int_{a}^{b} 2\pi x f(x) , dx ]

For this problem, (a = 0) and (b = 8), and (f(x) = \sqrt{To find the volume of the solid generated when the regions bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis are rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) of the solid is given by the formula:

[V = 2\pi \int_{a}^{b} x \cdot f(x) , dx]

In this case, the curves intersect at (x = 0) and (x = 8), so the integral becomes:

[V = 2\pi \int_{0}^{8} xTo find the volume of the solid generated when the region bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis is rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) can be calculated using the formula:

[ V = \int_{a}^{b} 2\pi x f(x) , dx ]

For this problem, (a = 0) and (b = 8), and (f(x) = \sqrt{3To find the volume of the solid generated when the regions bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis are rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) of the solid is given by the formula:

[V = 2\pi \int_{a}^{b} x \cdot f(x) , dx]

In this case, the curves intersect at (x = 0) and (x = 8), so the integral becomes:

[V = 2\pi \int_{0}^{8} x \To find the volume of the solid generated when the region bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis is rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) can be calculated using the formula:

[ V = \int_{a}^{b} 2\pi x f(x) , dx ]

For this problem, (a = 0) and (b = 8), and (f(x) = \sqrt{3xTo find the volume of the solid generated when the regions bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis are rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) of the solid is given by the formula:

[V = 2\pi \int_{a}^{b} x \cdot f(x) , dx]

In this case, the curves intersect at (x = 0) and (x = 8), so the integral becomes:

[V = 2\pi \int_{0}^{8} x \cdotTo find the volume of the solid generated when the region bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis is rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) can be calculated using the formula:

[ V = \int_{a}^{b} 2\pi x f(x) , dx ]

For this problem, (a = 0) and (b = 8), and (f(x) = \sqrt{3x}\To find the volume of the solid generated when the regions bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis are rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) of the solid is given by the formula:

[V = 2\pi \int_{a}^{b} x \cdot f(x) , dx]

In this case, the curves intersect at (x = 0) and (x = 8), so the integral becomes:

[V = 2\pi \int_{0}^{8} x \cdot \To find the volume of the solid generated when the region bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis is rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) can be calculated using the formula:

[ V = \int_{a}^{b} 2\pi x f(x) , dx ]

For this problem, (a = 0) and (b = 8), and (f(x) = \sqrt{3x}).To find the volume of the solid generated when the regions bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis are rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) of the solid is given by the formula:

[V = 2\pi \int_{a}^{b} x \cdot f(x) , dx]

In this case, the curves intersect at (x = 0) and (x = 8), so the integral becomes:

[V = 2\pi \int_{0}^{8} x \cdot \sqrtTo find the volume of the solid generated when the region bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis is rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) can be calculated using the formula:

[ V = \int_{a}^{b} 2\pi x f(x) , dx ]

For this problem, (a = 0) and (b = 8), and (f(x) = \sqrt{3x}). SubTo find the volume of the solid generated when the regions bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis are rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) of the solid is given by the formula:

[V = 2\pi \int_{a}^{b} x \cdot f(x) , dx]

In this case, the curves intersect at (x = 0) and (x = 8), so the integral becomes:

[V = 2\pi \int_{0}^{8} x \cdot \sqrt{To find the volume of the solid generated when the region bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis is rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) can be calculated using the formula:

[ V = \int_{a}^{b} 2\pi x f(x) , dx ]

For this problem, (a = 0) and (b = 8), and (f(x) = \sqrt{3x}). SubstitTo find the volume of the solid generated when the regions bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis are rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) of the solid is given by the formula:

[V = 2\pi \int_{a}^{b} x \cdot f(x) , dx]

In this case, the curves intersect at (x = 0) and (x = 8), so the integral becomes:

[V = 2\pi \int_{0}^{8} x \cdot \sqrt{3To find the volume of the solid generated when the region bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis is rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) can be calculated using the formula:

[ V = \int_{a}^{b} 2\pi x f(x) , dx ]

For this problem, (a = 0) and (b = 8), and (f(x) = \sqrt{3x}). SubstitutingTo find the volume of the solid generated when the regions bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis are rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) of the solid is given by the formula:

[V = 2\pi \int_{a}^{b} x \cdot f(x) , dx]

In this case, the curves intersect at (x = 0) and (x = 8), so the integral becomes:

[V = 2\pi \int_{0}^{8} x \cdot \sqrt{3xTo find the volume of the solid generated when the region bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis is rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) can be calculated using the formula:

[ V = \int_{a}^{b} 2\pi x f(x) , dx ]

For this problem, (a = 0) and (b = 8), and (f(x) = \sqrt{3x}). Substituting theseTo find the volume of the solid generated when the regions bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis are rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) of the solid is given by the formula:

[V = 2\pi \int_{a}^{b} x \cdot f(x) , dx]

In this case, the curves intersect at (x = 0) and (x = 8), so the integral becomes:

[V = 2\pi \int_{0}^{8} x \cdot \sqrt{3x} \To find the volume of the solid generated when the region bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis is rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) can be calculated using the formula:

[ V = \int_{a}^{b} 2\pi x f(x) , dx ]

For this problem, (a = 0) and (b = 8), and (f(x) = \sqrt{3x}). Substituting these valuesTo find the volume of the solid generated when the regions bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis are rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) of the solid is given by the formula:

[V = 2\pi \int_{a}^{b} x \cdot f(x) , dx]

In this case, the curves intersect at (x = 0) and (x = 8), so the integral becomes:

[V = 2\pi \int_{0}^{8} x \cdot \sqrt{3x} ,To find the volume of the solid generated when the region bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis is rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) can be calculated using the formula:

[ V = \int_{a}^{b} 2\pi x f(x) , dx ]

For this problem, (a = 0) and (b = 8), and (f(x) = \sqrt{3x}). Substituting these values intoTo find the volume of the solid generated when the regions bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis are rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) of the solid is given by the formula:

[V = 2\pi \int_{a}^{b} x \cdot f(x) , dx]

In this case, the curves intersect at (x = 0) and (x = 8), so the integral becomes:

[V = 2\pi \int_{0}^{8} x \cdot \sqrt{3x} , dxTo find the volume of the solid generated when the region bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis is rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) can be calculated using the formula:

[ V = \int_{a}^{b} 2\pi x f(x) , dx ]

For this problem, (a = 0) and (b = 8), and (f(x) = \sqrt{3x}). Substituting these values into theTo find the volume of the solid generated when the regions bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis are rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) of the solid is given by the formula:

[V = 2\pi \int_{a}^{b} x \cdot f(x) , dx]

In this case, the curves intersect at (x = 0) and (x = 8), so the integral becomes:

[V = 2\pi \int_{0}^{8} x \cdot \sqrt{3x} , dx\To find the volume of the solid generated when the region bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis is rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) can be calculated using the formula:

[ V = \int_{a}^{b} 2\pi x f(x) , dx ]

For this problem, (a = 0) and (b = 8), and (f(x) = \sqrt{3x}). Substituting these values into the formulaTo find the volume of the solid generated when the regions bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis are rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) of the solid is given by the formula:

[V = 2\pi \int_{a}^{b} x \cdot f(x) , dx]

In this case, the curves intersect at (x = 0) and (x = 8), so the integral becomes:

[V = 2\pi \int_{0}^{8} x \cdot \sqrt{3x} , dx]

The volume (V) can be calculated using the formula:

[ V = \int_{a}^{b} 2\pi x f(x) , dx ]

For this problem, (a = 0) and (b = 8), and (f(x) = \sqrt{3x}). Substituting these values into the formula,To find the volume of the solid generated when the regions bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis are rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) of the solid is given by the formula:

[V = 2\pi \int_{a}^{b} x \cdot f(x) , dx]

In this case, the curves intersect at (x = 0) and (x = 8), so the integral becomes:

[V = 2\pi \int_{0}^{8} x \cdot \sqrt{3x} , dx]

SimplTo find the volume of the solid generated when the region bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis is rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) can be calculated using the formula:

[ V = \int_{a}^{b} 2\pi x f(x) , dx ]

For this problem, (a = 0) and (b = 8), and (f(x) = \sqrt{3x}). Substituting these values into the formula, we haveTo find the volume of the solid generated when the regions bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis are rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) of the solid is given by the formula:

[V = 2\pi \int_{a}^{b} x \cdot f(x) , dx]

In this case, the curves intersect at (x = 0) and (x = 8), so the integral becomes:

[V = 2\pi \int_{0}^{8} x \cdot \sqrt{3x} , dx]

SimplifyingTo find the volume of the solid generated when the region bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis is rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) can be calculated using the formula:

[ V = \int_{a}^{b} 2\pi x f(x) , dx ]

For this problem, (a = 0) and (b = 8), and (f(x) = \sqrt{3x}). Substituting these values into the formula, we have:

To find the volume of the solid generated when the regions bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis are rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) of the solid is given by the formula:

[V = 2\pi \int_{a}^{b} x \cdot f(x) , dx]

In this case, the curves intersect at (x = 0) and (x = 8), so the integral becomes:

[V = 2\pi \int_{0}^{8} x \cdot \sqrt{3x} , dx]

Simplifying theTo find the volume of the solid generated when the region bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis is rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) can be calculated using the formula:

[ V = \int_{a}^{b} 2\pi x f(x) , dx ]

For this problem, (a = 0) and (b = 8), and (f(x) = \sqrt{3x}). Substituting these values into the formula, we have:

[To find the volume of the solid generated when the regions bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis are rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) of the solid is given by the formula:

[V = 2\pi \int_{a}^{b} x \cdot f(x) , dx]

In this case, the curves intersect at (x = 0) and (x = 8), so the integral becomes:

[V = 2\pi \int_{0}^{8} x \cdot \sqrt{3x} , dx]

Simplifying the integrTo find the volume of the solid generated when the region bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis is rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) can be calculated using the formula:

[ V = \int_{a}^{b} 2\pi x f(x) , dx ]

For this problem, (a = 0) and (b = 8), and (f(x) = \sqrt{3x}). Substituting these values into the formula, we have:

[ VTo find the volume of the solid generated when the regions bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis are rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) of the solid is given by the formula:

[V = 2\pi \int_{a}^{b} x \cdot f(x) , dx]

In this case, the curves intersect at (x = 0) and (x = 8), so the integral becomes:

[V = 2\pi \int_{0}^{8} x \cdot \sqrt{3x} , dx]

Simplifying the integrandTo find the volume of the solid generated when the region bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis is rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) can be calculated using the formula:

[ V = \int_{a}^{b} 2\pi x f(x) , dx ]

[ V =To find the volume of the solid generated when the regions bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis are rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) of the solid is given by the formula:

[V = 2\pi \int_{a}^{b} x \cdot f(x) , dx]

In this case, the curves intersect at (x = 0) and (x = 8), so the integral becomes:

[V = 2\pi \int_{0}^{8} x \cdot \sqrt{3x} , dx]

Simplifying the integrand:

The volume (V) can be calculated using the formula:

[ V = \int_{a}^{b} 2\pi x f(x) , dx ]

[ V = \To find the volume of the solid generated when the regions bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis are rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) of the solid is given by the formula:

[V = 2\pi \int_{a}^{b} x \cdot f(x) , dx]

In this case, the curves intersect at (x = 0) and (x = 8), so the integral becomes:

[V = 2\pi \int_{0}^{8} x \cdot \sqrt{3x} , dx]

Simplifying the integrand:

[To find the volume of the solid generated when the region bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis is rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) can be calculated using the formula:

[ V = \int_{a}^{b} 2\pi x f(x) , dx ]

[ V = \intTo find the volume of the solid generated when the regions bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis are rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) of the solid is given by the formula:

[V = 2\pi \int_{a}^{b} x \cdot f(x) , dx]

In this case, the curves intersect at (x = 0) and (x = 8), so the integral becomes:

[V = 2\pi \int_{0}^{8} x \cdot \sqrt{3x} , dx]

Simplifying the integrand:

[VTo find the volume of the solid generated when the region bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis is rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) can be calculated using the formula:

[ V = \int_{a}^{b} 2\pi x f(x) , dx ]

[ V = \int_{To find the volume of the solid generated when the regions bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis are rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) of the solid is given by the formula:

[V = 2\pi \int_{a}^{b} x \cdot f(x) , dx]

In this case, the curves intersect at (x = 0) and (x = 8), so the integral becomes:

[V = 2\pi \int_{0}^{8} x \cdot \sqrt{3x} , dx]

Simplifying the integrand:

[V =To find the volume of the solid generated when the region bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis is rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) can be calculated using the formula:

[ V = \int_{a}^{b} 2\pi x f(x) , dx ]

[ V = \int_{0To find the volume of the solid generated when the regions bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis are rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) of the solid is given by the formula:

[V = 2\pi \int_{a}^{b} x \cdot f(x) , dx]

In this case, the curves intersect at (x = 0) and (x = 8), so the integral becomes:

[V = 2\pi \int_{0}^{8} x \cdot \sqrt{3x} , dx]

Simplifying the integrand:

[V = 2To find the volume of the solid generated when the region bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis is rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) can be calculated using the formula:

[ V = \int_{a}^{b} 2\pi x f(x) , dx ]

[ V = \int_{0}To find the volume of the solid generated when the regions bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis are rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) of the solid is given by the formula:

[V = 2\pi \int_{a}^{b} x \cdot f(x) , dx]

In this case, the curves intersect at (x = 0) and (x = 8), so the integral becomes:

[V = 2\pi \int_{0}^{8} x \cdot \sqrt{3x} , dx]

Simplifying the integrand:

[V = 2\To find the volume of the solid generated when the region bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis is rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) can be calculated using the formula:

[ V = \int_{a}^{b} 2\pi x f(x) , dx ]

[ V = \int_{0}^{To find the volume of the solid generated when the regions bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis are rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) of the solid is given by the formula:

[V = 2\pi \int_{a}^{b} x \cdot f(x) , dx]

In this case, the curves intersect at (x = 0) and (x = 8), so the integral becomes:

[V = 2\pi \int_{0}^{8} x \cdot \sqrt{3x} , dx]

Simplifying the integrand:

[V = 2\pi \To find the volume of the solid generated when the region bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis is rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) can be calculated using the formula:

[ V = \int_{a}^{b} 2\pi x f(x) , dx ]

[ V = \int_{0}^{8To find the volume of the solid generated when the regions bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis are rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) of the solid is given by the formula:

[V = 2\pi \int_{a}^{b} x \cdot f(x) , dx]

In this case, the curves intersect at (x = 0) and (x = 8), so the integral becomes:

[V = 2\pi \int_{0}^{8} x \cdot \sqrt{3x} , dx]

Simplifying the integrand:

[V = 2\pi \intTo find the volume of the solid generated when the region bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis is rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) can be calculated using the formula:

[ V = \int_{a}^{b} 2\pi x f(x) , dx ]

[ V = \int_{0}^{8}To find the volume of the solid generated when the regions bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis are rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) of the solid is given by the formula:

[V = 2\pi \int_{a}^{b} x \cdot f(x) , dx]

In this case, the curves intersect at (x = 0) and (x = 8), so the integral becomes:

[V = 2\pi \int_{0}^{8} x \cdot \sqrt{3x} , dx]

Simplifying the integrand:

[V = 2\pi \int_{To find the volume of the solid generated when the region bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis is rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) can be calculated using the formula:

[ V = \int_{a}^{b} 2\pi x f(x) , dx ]

[ V = \int_{0}^{8} To find the volume of the solid generated when the regions bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis are rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) of the solid is given by the formula:

[V = 2\pi \int_{a}^{b} x \cdot f(x) , dx]

In this case, the curves intersect at (x = 0) and (x = 8), so the integral becomes:

[V = 2\pi \int_{0}^{8} x \cdot \sqrt{3x} , dx]

Simplifying the integrand:

[V = 2\pi \int_{0}To find the volume of the solid generated when the region bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis is rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) can be calculated using the formula:

[ V = \int_{a}^{b} 2\pi x f(x) , dx ]

[ V = \int_{0}^{8} 2To find the volume of the solid generated when the regions bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis are rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) of the solid is given by the formula:

[V = 2\pi \int_{a}^{b} x \cdot f(x) , dx]

In this case, the curves intersect at (x = 0) and (x = 8), so the integral becomes:

[V = 2\pi \int_{0}^{8} x \cdot \sqrt{3x} , dx]

Simplifying the integrand:

[V = 2\pi \int_{0}^{8To find the volume of the solid generated when the region bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis is rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) can be calculated using the formula:

[ V = \int_{a}^{b} 2\pi x f(x) , dx ]

[ V = \int_{0}^{8} 2\To find the volume of the solid generated when the regions bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis are rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) of the solid is given by the formula:

[V = 2\pi \int_{a}^{b} x \cdot f(x) , dx]

In this case, the curves intersect at (x = 0) and (x = 8), so the integral becomes:

[V = 2\pi \int_{0}^{8} x \cdot \sqrt{3x} , dx]

Simplifying the integrand:

[V = 2\pi \int_{0}^{8}To find the volume of the solid generated when the region bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis is rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) can be calculated using the formula:

[ V = \int_{a}^{b} 2\pi x f(x) , dx ]

[ V = \int_{0}^{8} 2\piTo find the volume of the solid generated when the regions bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis are rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) of the solid is given by the formula:

[V = 2\pi \int_{a}^{b} x \cdot f(x) , dx]

In this case, the curves intersect at (x = 0) and (x = 8), so the integral becomes:

[V = 2\pi \int_{0}^{8} x \cdot \sqrt{3x} , dx]

Simplifying the integrand:

[V = 2\pi \int_{0}^{8} xTo find the volume of the solid generated when the region bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis is rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) can be calculated using the formula:

[ V = \int_{a}^{b} 2\pi x f(x) , dx ]

[ V = \int_{0}^{8} 2\pi xTo find the volume of the solid generated when the regions bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis are rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) of the solid is given by the formula:

[V = 2\pi \int_{a}^{b} x \cdot f(x) , dx]

In this case, the curves intersect at (x = 0) and (x = 8), so the integral becomes:

[V = 2\pi \int_{0}^{8} x \cdot \sqrt{3x} , dx]

Simplifying the integrand:

[V = 2\pi \int_{0}^{8} x^To find the volume of the solid generated when the region bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis is rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) can be calculated using the formula:

[ V = \int_{a}^{b} 2\pi x f(x) , dx ]

[ V = \int_{0}^{8} 2\pi x \To find the volume of the solid generated when the regions bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis are rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) of the solid is given by the formula:

[V = 2\pi \int_{a}^{b} x \cdot f(x) , dx]

In this case, the curves intersect at (x = 0) and (x = 8), so the integral becomes:

[V = 2\pi \int_{0}^{8} x \cdot \sqrt{3x} , dx]

Simplifying the integrand:

[V = 2\pi \int_{0}^{8} x^{\To find the volume of the solid generated when the region bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis is rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) can be calculated using the formula:

[ V = \int_{a}^{b} 2\pi x f(x) , dx ]

[ V = \int_{0}^{8} 2\pi x \sqrtTo find the volume of the solid generated when the regions bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis are rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) of the solid is given by the formula:

[V = 2\pi \int_{a}^{b} x \cdot f(x) , dx]

In this case, the curves intersect at (x = 0) and (x = 8), so the integral becomes:

[V = 2\pi \int_{0}^{8} x \cdot \sqrt{3x} , dx]

Simplifying the integrand:

[V = 2\pi \int_{0}^{8} x^{\frac{To find the volume of the solid generated when the region bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis is rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) can be calculated using the formula:

[ V = \int_{a}^{b} 2\pi x f(x) , dx ]

[ V = \int_{0}^{8} 2\pi x \sqrt{To find the volume of the solid generated when the regions bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis are rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) of the solid is given by the formula:

[V = 2\pi \int_{a}^{b} x \cdot f(x) , dx]

In this case, the curves intersect at (x = 0) and (x = 8), so the integral becomes:

[V = 2\pi \int_{0}^{8} x \cdot \sqrt{3x} , dx]

Simplifying the integrand:

[V = 2\pi \int_{0}^{8} x^{\frac{3To find the volume of the solid generated when the region bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis is rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) can be calculated using the formula:

[ V = \int_{a}^{b} 2\pi x f(x) , dx ]

[ V = \int_{0}^{8} 2\pi x \sqrt{3To find the volume of the solid generated when the regions bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis are rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) of the solid is given by the formula:

[V = 2\pi \int_{a}^{b} x \cdot f(x) , dx]

In this case, the curves intersect at (x = 0) and (x = 8), so the integral becomes:

[V = 2\pi \int_{0}^{8} x \cdot \sqrt{3x} , dx]

Simplifying the integrand:

[V = 2\pi \int_{0}^{8} x^{\frac{3}{To find the volume of the solid generated when the region bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis is rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) can be calculated using the formula:

[ V = \int_{a}^{b} 2\pi x f(x) , dx ]

[ V = \int_{0}^{8} 2\pi x \sqrt{3xTo find the volume of the solid generated when the regions bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis are rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) of the solid is given by the formula:

[V = 2\pi \int_{a}^{b} x \cdot f(x) , dx]

In this case, the curves intersect at (x = 0) and (x = 8), so the integral becomes:

[V = 2\pi \int_{0}^{8} x \cdot \sqrt{3x} , dx]

Simplifying the integrand:

[V = 2\pi \int_{0}^{8} x^{\frac{3}{2To find the volume of the solid generated when the region bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis is rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) can be calculated using the formula:

[ V = \int_{a}^{b} 2\pi x f(x) , dx ]

[ V = \int_{0}^{8} 2\pi x \sqrt{3x}To find the volume of the solid generated when the regions bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis are rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) of the solid is given by the formula:

[V = 2\pi \int_{a}^{b} x \cdot f(x) , dx]

In this case, the curves intersect at (x = 0) and (x = 8), so the integral becomes:

[V = 2\pi \int_{0}^{8} x \cdot \sqrt{3x} , dx]

Simplifying the integrand:

[V = 2\pi \int_{0}^{8} x^{\frac{3}{2}} \To find the volume of the solid generated when the region bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis is rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) can be calculated using the formula:

[ V = \int_{a}^{b} 2\pi x f(x) , dx ]

[ V = \int_{0}^{8} 2\pi x \sqrt{3x} \To find the volume of the solid generated when the regions bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis are rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) of the solid is given by the formula:

[V = 2\pi \int_{a}^{b} x \cdot f(x) , dx]

In this case, the curves intersect at (x = 0) and (x = 8), so the integral becomes:

[V = 2\pi \int_{0}^{8} x \cdot \sqrt{3x} , dx]

Simplifying the integrand:

[V = 2\pi \int_{0}^{8} x^{\frac{3}{2}} ,To find the volume of the solid generated when the region bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis is rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) can be calculated using the formula:

[ V = \int_{a}^{b} 2\pi x f(x) , dx ]

[ V = \int_{0}^{8} 2\pi x \sqrt{3x} ,To find the volume of the solid generated when the regions bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis are rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) of the solid is given by the formula:

[V = 2\pi \int_{a}^{b} x \cdot f(x) , dx]

In this case, the curves intersect at (x = 0) and (x = 8), so the integral becomes:

[V = 2\pi \int_{0}^{8} x \cdot \sqrt{3x} , dx]

Simplifying the integrand:

[V = 2\pi \int_{0}^{8} x^{\frac{3}{2}} , dxTo find the volume of the solid generated when the region bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis is rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) can be calculated using the formula:

[ V = \int_{a}^{b} 2\pi x f(x) , dx ]

[ V = \int_{0}^{8} 2\pi x \sqrt{3x} , dxTo find the volume of the solid generated when the regions bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis are rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) of the solid is given by the formula:

[V = 2\pi \int_{a}^{b} x \cdot f(x) , dx]

In this case, the curves intersect at (x = 0) and (x = 8), so the integral becomes:

[V = 2\pi \int_{0}^{8} x \cdot \sqrt{3x} , dx]

Simplifying the integrand:

[V = 2\pi \int_{0}^{8} x^{\frac{3}{2}} , dx\To find the volume of the solid generated when the region bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis is rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) can be calculated using the formula:

[ V = \int_{a}^{b} 2\pi x f(x) , dx ]

[ V = \int_{0}^{8} 2\pi x \sqrt{3x} , dx \To find the volume of the solid generated when the regions bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis are rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) of the solid is given by the formula:

[V = 2\pi \int_{a}^{b} x \cdot f(x) , dx]

In this case, the curves intersect at (x = 0) and (x = 8), so the integral becomes:

[V = 2\pi \int_{0}^{8} x \cdot \sqrt{3x} , dx]

Simplifying the integrand:

[V = 2\pi \int_{0}^{8} x^{\frac{3}{2}} , dx]

The volume (V) can be calculated using the formula:

[ V = \int_{a}^{b} 2\pi x f(x) , dx ]

[ V = \int_{0}^{8} 2\pi x \sqrt{3x} , dx ]

The volume (V) of the solid is given by the formula:

[V = 2\pi \int_{a}^{b} x \cdot f(x) , dx]

In this case, the curves intersect at (x = 0) and (x = 8), so the integral becomes:

[V = 2\pi \int_{0}^{8} x \cdot \sqrt{3x} , dx]

Simplifying the integrand:

[V = 2\pi \int_{0}^{8} x^{\frac{3}{2}} , dx]

[To find the volume of the solid generated when the region bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis is rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) can be calculated using the formula:

[ V = \int_{a}^{b} 2\pi x f(x) , dx ]

[ V = \int_{0}^{8} 2\pi x \sqrt{3x} , dx ]

STo find the volume of the solid generated when the regions bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis are rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) of the solid is given by the formula:

[V = 2\pi \int_{a}^{b} x \cdot f(x) , dx]

In this case, the curves intersect at (x = 0) and (x = 8), so the integral becomes:

[V = 2\pi \int_{0}^{8} x \cdot \sqrt{3x} , dx]

Simplifying the integrand:

[V = 2\pi \int_{0}^{8} x^{\frac{3}{2}} , dx]

[V =To find the volume of the solid generated when the region bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis is rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) can be calculated using the formula:

[ V = \int_{a}^{b} 2\pi x f(x) , dx ]

[ V = \int_{0}^{8} 2\pi x \sqrt{3x} , dx ]

SolvingTo find the volume of the solid generated when the regions bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis are rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) of the solid is given by the formula:

[V = 2\pi \int_{a}^{b} x \cdot f(x) , dx]

In this case, the curves intersect at (x = 0) and (x = 8), so the integral becomes:

[V = 2\pi \int_{0}^{8} x \cdot \sqrt{3x} , dx]

Simplifying the integrand:

[V = 2\pi \int_{0}^{8} x^{\frac{3}{2}} , dx]

[V = To find the volume of the solid generated when the region bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis is rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) can be calculated using the formula:

[ V = \int_{a}^{b} 2\pi x f(x) , dx ]

[ V = \int_{0}^{8} 2\pi x \sqrt{3x} , dx ]

Solving thisTo find the volume of the solid generated when the regions bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis are rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) of the solid is given by the formula:

[V = 2\pi \int_{a}^{b} x \cdot f(x) , dx]

In this case, the curves intersect at (x = 0) and (x = 8), so the integral becomes:

[V = 2\pi \int_{0}^{8} x \cdot \sqrt{3x} , dx]

Simplifying the integrand:

[V = 2\pi \int_{0}^{8} x^{\frac{3}{2}} , dx]

[V = 2To find the volume of the solid generated when the region bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis is rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) can be calculated using the formula:

[ V = \int_{a}^{b} 2\pi x f(x) , dx ]

[ V = \int_{0}^{8} 2\pi x \sqrt{3x} , dx ]

Solving this integralTo find the volume of the solid generated when the regions bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis are rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) of the solid is given by the formula:

[V = 2\pi \int_{a}^{b} x \cdot f(x) , dx]

In this case, the curves intersect at (x = 0) and (x = 8), so the integral becomes:

[V = 2\pi \int_{0}^{8} x \cdot \sqrt{3x} , dx]

Simplifying the integrand:

[V = 2\pi \int_{0}^{8} x^{\frac{3}{2}} , dx]

[V = 2\To find the volume of the solid generated when the region bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis is rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) can be calculated using the formula:

[ V = \int_{a}^{b} 2\pi x f(x) , dx ]

[ V = \int_{0}^{8} 2\pi x \sqrt{3x} , dx ]

Solving this integral willTo find the volume of the solid generated when the regions bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis are rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) of the solid is given by the formula:

[V = 2\pi \int_{a}^{b} x \cdot f(x) , dx]

In this case, the curves intersect at (x = 0) and (x = 8), so the integral becomes:

[V = 2\pi \int_{0}^{8} x \cdot \sqrt{3x} , dx]

Simplifying the integrand:

[V = 2\pi \int_{0}^{8} x^{\frac{3}{2}} , dx]

[V = 2\piTo find the volume of the solid generated when the region bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis is rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) can be calculated using the formula:

[ V = \int_{a}^{b} 2\pi x f(x) , dx ]

[ V = \int_{0}^{8} 2\pi x \sqrt{3x} , dx ]

Solving this integral will giveTo find the volume of the solid generated when the regions bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis are rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) of the solid is given by the formula:

[V = 2\pi \int_{a}^{b} x \cdot f(x) , dx]

In this case, the curves intersect at (x = 0) and (x = 8), so the integral becomes:

[V = 2\pi \int_{0}^{8} x \cdot \sqrt{3x} , dx]

Simplifying the integrand:

[V = 2\pi \int_{0}^{8} x^{\frac{3}{2}} , dx]

[V = 2\pi \To find the volume of the solid generated when the region bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis is rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) can be calculated using the formula:

[ V = \int_{a}^{b} 2\pi x f(x) , dx ]

[ V = \int_{0}^{8} 2\pi x \sqrt{3x} , dx ]

Solving this integral will give usTo find the volume of the solid generated when the regions bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis are rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) of the solid is given by the formula:

[V = 2\pi \int_{a}^{b} x \cdot f(x) , dx]

In this case, the curves intersect at (x = 0) and (x = 8), so the integral becomes:

[V = 2\pi \int_{0}^{8} x \cdot \sqrt{3x} , dx]

Simplifying the integrand:

[V = 2\pi \int_{0}^{8} x^{\frac{3}{2}} , dx]

[V = 2\pi \left[ \To find the volume of the solid generated when the region bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis is rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) can be calculated using the formula:

[ V = \int_{a}^{b} 2\pi x f(x) , dx ]

[ V = \int_{0}^{8} 2\pi x \sqrt{3x} , dx ]

Solving this integral will give us the volume ofTo find the volume of the solid generated when the regions bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis are rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) of the solid is given by the formula:

[V = 2\pi \int_{a}^{b} x \cdot f(x) , dx]

In this case, the curves intersect at (x = 0) and (x = 8), so the integral becomes:

[V = 2\pi \int_{0}^{8} x \cdot \sqrt{3x} , dx]

Simplifying the integrand:

[V = 2\pi \int_{0}^{8} x^{\frac{3}{2}} , dx]

[V = 2\pi \left[ \frac{To find the volume of the solid generated when the region bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis is rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) can be calculated using the formula:

[ V = \int_{a}^{b} 2\pi x f(x) , dx ]

[ V = \int_{0}^{8} 2\pi x \sqrt{3x} , dx ]

Solving this integral will give us the volume of the solidTo find the volume of the solid generated when the regions bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis are rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) of the solid is given by the formula:

[V = 2\pi \int_{a}^{b} x \cdot f(x) , dx]

In this case, the curves intersect at (x = 0) and (x = 8), so the integral becomes:

[V = 2\pi \int_{0}^{8} x \cdot \sqrt{3x} , dx]

Simplifying the integrand:

[V = 2\pi \int_{0}^{8} x^{\frac{3}{2}} , dx]

[V = 2\pi \left[ \frac{2To find the volume of the solid generated when the region bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis is rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) can be calculated using the formula:

[ V = \int_{a}^{b} 2\pi x f(x) , dx ]

[ V = \int_{0}^{8} 2\pi x \sqrt{3x} , dx ]

Solving this integral will give us the volume of the solid.To find the volume of the solid generated when the regions bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis are rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) of the solid is given by the formula:

[V = 2\pi \int_{a}^{b} x \cdot f(x) , dx]

In this case, the curves intersect at (x = 0) and (x = 8), so the integral becomes:

[V = 2\pi \int_{0}^{8} x \cdot \sqrt{3x} , dx]

Simplifying the integrand:

[V = 2\pi \int_{0}^{8} x^{\frac{3}{2}} , dx]

[V = 2\pi \left[ \frac{2}{5To find the volume of the solid generated when the region bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis is rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) can be calculated using the formula:

[ V = \int_{a}^{b} 2\pi x f(x) , dx ]

[ V = \int_{0}^{8} 2\pi x \sqrt{3x} , dx ]

Solving this integral will give us the volume of the solid.To find the volume of the solid generated when the regions bounded by the graphs of (y = \sqrt{3x}), (x = 0), (x = 8), and the x-axis are rotated about the x-axis, you can use the method of cylindrical shells.

The volume (V) of the solid is given by the formula:

[V = 2\pi \int_{a}^{b} x \cdot f(x) , dx]

In this case, the curves intersect at (x = 0) and (x = 8), so the integral becomes:

[V = 2\pi \int_{0}^{8} x \cdot \sqrt{3x} , dx]

Simplifying the integrand:

[V = 2\pi \int_{0}^{8} x^{\frac{3}{2}} , dx]

[V = 2\pi \left[ \frac{2}{5}x^{\frac{5}{2}} \right]_{0}^{8}]

[V = \frac{4}{5} \pi \cdot 8^{\frac{5}{2}}]

[V = \frac{4}{5} \pi \cdot 256]

[V = \frac{1024}{5} \pi]

So, the volume of the solid is (\frac{1024}{5} \pi) cubic units.

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