# A cone and a cylinder have the same area base. The line's height is 6 times the height of the cylinder. How much greater is the volume of the cone? My teacher says you have to show your work

##### 1 Answer

May 31, 2018

The cone's volume is 2 times greater.

#### Explanation:

Assuming that by line you meant cone:

The volume of a cone is always

This is visible from the formulas for each solid.

So if the height of the cone is 6 times larger than that of the cone, then the volume is