# 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 #39 # and the height of the cylinder is #17 #. If the volume of the solid is #150 pi#, what is the area of the base of the cylinder?

##### 1 Answer

Apr 7, 2017

The area of the base of the cylinder is

#### Explanation:

The formula for volume of a cone is:

The formula for volume of a cylinder is:

Therefore the formula for the total volume (

We need to calculate

We cancel the like term (

Divide both sides by

The formula of area of the base of a cylinder (a circle) is: