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Asked by Shahnawaz

Jan 9, 2014

A cone ,hemisphere and a cylinder stand on equal base

A cone ,hemisphere and a cylinder stand on equal base and have same height .then ratio of their volume is? Show it.

Answers(2)

Answer

Syeda

Member since Jan 25, 2017

Answer.

    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

Kishore Kumar

Member since

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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