A solid consists of a cone on top of a cylinder with a radius equal to that of the cone. The height of the cone is #15 # and the height of the cylinder is #4 #. If the volume of the solid is #18 pi#, what is the area of the base of the cylinder?
The area is
So,
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The area of the base of the cylinder is 6π square units.
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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.
- A pyramid has a base in the shape of a rhombus and a peak directly above the base's center. The pyramid's height is #9 #, its base's sides have lengths of #4 #, and its base has a corner with an angle of #( pi)/6 #. What is the pyramid's surface area?
- What is the area of a circle if the circumference is 48 ft?
- An ellipsoid has radii with lengths of #5 #, #4 #, and #8 #. A portion the size of a hemisphere with a radius of #3 # is removed form the ellipsoid. What is the remaining volume of the ellipsoid?
- A triangle has two corners with angles of # (2 pi ) / 3 # and # ( pi )/ 6 #. If one side of the triangle has a length of #4 #, what is the largest possible area of the triangle?
- The length of a rectangle is three times the width. What is the width of the area is 147 square feet?

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