# 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 #6 #. If the volume of the solid is #45 pi#, what is the area of the base of the cylinder?

##### 1 Answer

Mar 19, 2018

#### Explanation:

To find the area, we first need to find the radius. We know that the total volume of the cylinder plus the cone is

Cylinder's volume:

Cone's volume:

Add the two volumes together:

Area is

The answer is