A cylinder's radius is reduced to 2/5 its original size and the height is quadrupled. How has the volume of the cylinder changed?

The volume of the cylinder:

V = r² π h

A radius is reduced to 2/5 its original size and the height is quadrupled.

V (new) = (2/5 r) ² π · 4 h = 4/25 r² π · 4 h = 16/25 r² π h = 16/25 V

Answer:

The new volume has 16/25 the volume of the original cylinder.