Question:It the volume of two cones are in the ratio of `1 : 4` and their diameters are in the ratio of ``4 : 5`, then the ratio of their heights is : 

A `1 : 5` 
B `5 : 4` 
C `5 : 16` 
D `25 : 64` 

+ Answer
D 

+ Explanation
Let their ratio be `4x & 5x & heights be h & H.

Then,`(1/3 π(4x)^2 xx h)/(1/3 π (5x)^2 xx h)`

`1/4 or h/H = 1/4 xx 25/16`

`= 25/64`

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Irin Moni

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