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A metal ball of radius 8 cm is melted and cast into smaller balls each of radius 2 cm. Then the number of such balls are

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6400

640

answer is A.

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Detailed Solution

$\frac{4}{3} π R^{3} = n . \frac{4}{3} π r^{3} \Rightarrow 8^{3} = n . {(2)}^{3} \Rightarrow n = 64$

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