A cylinder, a cone and a hemisphere have Same base and same height. Find the ratio of their volumes
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Step-by-step explanation:
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
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