# 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 #9 # and the height of the cylinder is #12 #. If the volume of the solid is #24 pi#, what is the area of the base of the cylinder?

##### 1 Answer

Apr 3, 2016

#### Explanation:

Consider the solid

We can say that the volume of the solid equals the sum of the volume of the cone and the cylinder

Volume of cylinder

Volume of cone

(

Area of the base (the base is a circle)

If you take a closer look at the formula, you could see

#color(orange)(pir^2=w#

(area of the base)