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.
