A cone ,hemisphere and a cylinder stand on equal base
olume 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 : πr2
= (1/3) : (2/3) : 1
= 1: 2: 3