Question

Show that the ratio of the volumes of a cylinder, a cone and a hemi-sphere of

same base and same height is 3:1:2.

Answer 1

let the radio be r and height be h
As in a hemisphere height=radius
=>r=h
volume of cylinder=πr²h=πr³
volume of cone=1/3πr²h=1/3πr³
volume of hemisphere=2/3πr³
ratio=πr³:1/3πr³:2/3πr³
=3:1:2