Question 93

How many balls of radius 2 cm can be made by melting a bigger ball of diameter 16 cm? (Take π = 22/7)

Solution

Since the larger ball is melted, the volume will remain constant.

Radius of big ball = 8 cm and radius of small balls = 2 cm

Let $$n$$ balls be formed

=> $$\frac{4}{3} \times \pi \times 2^3 \times n = \frac{4}{3} \times \pi \times 8^3$$

=> $$n = \frac{8^3}{2^3} = (\frac{8}{2})^3$$

=> $$n = 4^3 = 64$$

=> Ans - (A)

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