Question:The number of solid sphere, each of diameter `3` cm that could be moulded to form a solid cylinder of height `54` cm and diameter `4` cm, is : 

A `16` 
B `24` 
C `36` 
D `48` 

+ Answer
D 

+ Explanation
Volume of cylinder 

`= π xx 2^2 xx 54`

`= (216 π) cm^3`

Volume of `1` sphere 

`= 4/3 π xx (3/2)^3`

`= ((9π)/2) cm.^2`

Number of spheres

`= (216π xx 2/(9π)`

`= 48.`

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Irin Moni

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