Question

A cylinder,a cone and a hemisphere are of the same base and of the same height.The

ratio of their volumes is

(a) 1:2:3 (b) 2:1:3 (c) 3:1:2 (d) 3:2:1

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Answer 1

Volume of cylinder = πr²h

Volume of cone = ⅓πr²h

Volume of hemisphere = ⅔πr²h

Ratio = πr²h : ⅓πr²h : ⅔πr²h

= 1 : ⅓ : ⅔

= 3 : 1 : 2

Hence, the answer is option (c)