Question 34

How many balls of radius 3 cm can be made by melting a bigger ball of diameter 48 cm?

Solution

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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