# A solid consists of a cone on top of a cylinder with a radius equal to the cone. The height of the cone is #6 # and the height of the cylinder is #8 #. If the volume of the solid is #20 pi#, what is the area of the base of cylinder?

##### 1 Answer

Oct 9, 2016

#### Explanation:

We have a Cone and a Cylinder. For ease of keeping track, I'm going to use N to indicate Cone and L to indicate Cylinder.

We know:

What is the area of the base of the cylinder?

Let's first substitute in the formulas for the volumes of the two shapes:

The area of the base is