Three solid spheres of copper, whose radii are $3$ cm, $4$ cm and $5$ cm respestively are melted into a single solid sphere of radius R. The value of R is

12

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8

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6

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Solution

The correct option is C $6$ cm
$\frac{4}{3} π R^{3} = \frac{4}{3} π (3^{3} + 4^{3} + 5^{3}) \Rightarrow R^{3} = 27 + 64 + 125 = 216 \Rightarrow R = 6$

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