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

Let *r* and* h* be the radius of base and height of the cylinder, cone and hemisphere.

We know that, **Height of hemisphere = Radius of the hemisphere**

∴* h* = *r*

Volume of cylinder = *πr*^{2}*h = πr*^{2} *× r = πr*^{3}

Volume of cone = * *

Volume of hemisphere =

Volume of cone : Volume of hemisphere : Volume of cylinder

Thus, the ratio of their volumes is 1 : 2 : 3.

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