# 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 #48 pi#, what is the area of the base of the cylinder?

##### 1 Answer

Apr 15, 2016

#### Explanation:

Volume of a right circular cone is given by the expression

Also that Volume of a cylinder

Volume of the given solid

Inserting given values

Since, radius of both cone and cylinder are equal, rearranging and solving for area of the base of cylinder