# 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 #5 # and the height of the cylinder is #12 #. If the volume of the solid is #36 pi#, what is the area of the base of the cylinder?

##### 1 Answer

Apr 23, 2016

I found

#### Explanation:

The volume of the cone is:

The volume of th cylinder is:

where the "hs" are the heights of the two solids:

We can write:

i.e.

and the area of the base will be: