If two cylinders are similar and the ratio between the altitude lengths is 2:3, what is the ratio of their volumes

Given:

ratio of altitude height = 2/3

Required:

ratio of volume

Solution:

Assuming that the only difference that the cylinders has is the height, we can solve for the ratio of the volume.

The volume of a cylinder is equal to πr²*height.

ratio of volume = πr²*2/πr²*3

We cancel the pi and the r² since we assume that the cylinders have the same radius. By cancelling, we are left with:

ratio of volume = 2/3