How do you find the volume of a solid of revolution washer method?

Answer 1
Suppose that #f(x)geq g(x)# for all #x# in #[a,b]#. If the region between the graphs of #f# and #g# from #x=a# to #x=b# is revolved about the #x#-axis, then the volume of the resulting solid can be found by #V=pi int_a^b{[f(x)]^2-[g(x)]^2}dx#
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Answer 2

To find the volume of a solid of revolution using the washer method, you integrate the difference between the volumes of two cylinders. The formula is V = π∫[a, b] (R(x)^2 - r(x)^2) dx, where R(x) is the outer radius function, r(x) is the inner radius function, and [a, b] is the interval of integration along the x-axis. The outer radius is the distance from the axis of revolution to the outer curve, while the inner radius is the distance from the axis of revolution to the inner curve. You square these distances and find the difference, then integrate over the given interval.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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