How many balls of radius 3 cm can be made by melting a bigger ball of diameter 48 cm?
Since the larger ball is melted, the volume will remain constant.
Radius of big ball = 24 cm and radius of small balls = 3 cm
Let $$n$$ balls be formed
=> $$\frac{4}{3} \times \pi \times 3^3 \times n = \frac{4}{3} \times \pi \times 24^3$$
=> $$n = \frac{24^3}{3^3} = (\frac{24}{3})^3$$
=> $$n = 8^3 = 512$$
=> Ans - (B)
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