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 = πr^{2}h = πr^{3}

Volume of hemisphere = πr^{3}

Volume of cylinder = πr^{2}h =πr^{3}

Ratio of cone to hemisphere = =

Ratio of hemisphere to cylinder = =

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

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