Question

# A solid metal ball of radius 8 cm is melted and cast into smaller balls, each of radius 2 cm. The number of such balls is:

A
8
B
16
C
32
D
64

Solution

## The correct option is D 64Let we cast big ball into $$n$$ number of small balls.Therefore,Volume of big ball =n$$\times$$ Volume of small balls$$\implies \dfrac{4}{3}\pi (8)^3=n(\dfrac{4}{3}\pi (2)^3)$$$$\implies n=\dfrac{512}{8}=64$$Hence the number of such balls is $$64$$.Mathematics

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