# If the radius of a cylinder is doubled and its height is quartered, what will be the percebt increase in its volume?

##### 1 Answer

May 15, 2018

There will not be percentage increase when the radius is doubled and the height is quartered,

#### Explanation:

A cylinder's volume is equal to the base X height.

Doubling the radius (r) and quartering the height (h) makes the increase (I) equal to the new size / old size

After cancelling the height and pi out, you are left with

which all cancels out to leaving 1, meaning that the volume did not change.