Question

A cone, a hemisphere and a cylinder stand on the equal bases and have same height. Find the ratio of 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
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