Q. 74.5( 11 Votes )

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

Answer :

The cone, hemisphere and cylinder stand on equal bases which means their base radius is same


Let that base radius be r


It is given that height = r


Volume of cone = πr2h = πr3


Volume of hemisphere = πr3


Volume of cylinder = πr2h =πr3


Ratio of cone to hemisphere = =


Ratio of hemisphere to cylinder = =


ratio of volumes of all three solid = 1:2:3


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