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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.

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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