Question

A cylinder, a cone and a hemisphere are of same base and have same height. The
ratio of their volumes is​

Answer 1

Volume of cone = (1/3)πr2h

Volume of hemisphere = (2/3)πr3 

Volume of cylinder = πr2h

Given :-

The cone, hemisphere and cylinder have equal base and same height

so, the height = [r]

Then,

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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