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 = 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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