# 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 #42 # and the height of the cylinder is #10 #. If the volume of the solid is #225 pi#, what is the area of the base of the cylinder?

##### 2 Answers

#### Explanation:

Lets assume we work in centimeters.

Top part of solid= a cone,bottom part a cilinder.

multiply both sides with

substitute

Area base of cilinder=

Area of base

#### Explanation:

The volume of the cylinder and the cone together is

Let

Using the formulae gives:

Note that we are not asked for radius, just for the area of the base of the cylinder which is given by

Solve for