Question:In what ratio are the volumes of a cylinder, a come and a sphere, if each has the same diameter and the same height ? 

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

+ Answer
C 

+ Explanation
Let radius = R and height = H. Then,

Ratio of their volumes 

`= πR^2 H : 1/3 πR^2 H : 4/3 π R^3`

`= H : 1/3 H : 4/3 R [In sphere H = 2R or R = H/2]`

`= H :1/3 H : 4/3 xx H/2 = 3 : 1 : 2.`

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Irin Moni

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