Question:If a solid sphere of radius `10 cm` is moulded into `8` spherical solid balls of equal radius , then the radius of each such ball is : 

A `1.25 cm` 
B `2.5 cm` 
C `3.75 cm` 
D `5 cm` 

+ Answer
D 

+ Explanation
VOlume of each ball 

`= 1/8 xx (4/3 π xx 10 xx 10 xx 10) cm^3.

:. 4/3 π R^3`

`= 1/8 xx 4/3 π xx 10 xx 10 xx 10`

`or R^3 = (10/2)^3 = 5^3.`

`So, R = 5.`

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Irin Moni

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