Question:A cone, a hemisphere and a cylinder stand on equal base and have the same height. The ratio of their volumes is : 

A `1 : 2 : 3` 
B `2 : 1 : 3` 
C `2 : 3 : 1` 
D `3 : 2 : 1` 

+ Answer
A 

+ Explanation
Let R be the radius of each 

Height of hemi - sphere = its radius = R.

:. Height of each = R

Ratio of their volumes 

`= 1/3 πR^2 xx R : 2/3 πR^3 : πR^2 xx R`

`= 1 : 2 : 3`.

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Irin Moni

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