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Solve question no. 12

Q.12. A cone, a hemisphere and a cylinder stand on equal base and have the same height. Find the ratio of their volume.

Here is the solution of your asked query:

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.

Regards

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