# 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 #33 # and the height of the cylinder is #13 #. If the volume of the solid is #232 pi#, what is the area of the base of the cylinder?

##### 1 Answer

Nov 15, 2016

The area of the base

#### Explanation:

Let the area of the base of cylinder

Then the area of the base of the cone

The volume of the cone

where

The volume of the cylinder is

where

The total volume is

then,

But

Therefore,