a cylinder , a cone and a hemisphere of equal base have the same height. what is their ratio in 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 cylinder : Volume of cone : Volume of hemisphere

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

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