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

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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