Question

A cylinder, a cone and a hemisphere are of equal base and have the same height. What is

the ratio in their volumes?

Answer 1

 Volume of cone = (1/3)πr2h
Volume of hemisphere = (2/3)πr3 
Volume of cylinder = πr2h
Given that cone, hemisphere and cylinder have equal base and same height
That is r = h
Volume of cone : Volume of hemisphere : Volume of cylinder  = (1/3)πr2h :  (2/3)πr3 : πr2h
= (1/3)πr3 :  (2/3)πr3 : πr3
= (1/3) : (2/3) : 1
= 1: 2: 3