Question:Three spherical metal balls of radii `6 cm, 8 cm` and R cm are melted into a solid sphere of radius `12 cm.` The value of R is : 

A `8 cm` 
B `10 cm` 
C `14 cm` 
D `18 cm` 

+ Answer
B 

+ Explanation
`4/3 π  xx (6)^3 + 4/3 π xx (8)^3 + 4/3 π xx R^3`

`= 4/3 π xx (12)^3.`

`:. 4/3 π xx [216 + 512 + R^3]`

`= 4/3 π xx 1728`

`or 728 + R^3 = 1728`

`or R^3 = 1000.`

So, R = 10 cm.`

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Irin Moni

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