Question 73

Eight metallic spheres of radius 1 cm are melted to form one sphere. The radius of the resulting sphere is:

Solution

Given,

8 metallic sphere of 1 cm is melted to form a big sphere

Let the radius of big sphere = R

Volume of sphere = $$\frac{4}{3}\times\ \pi\ \times\ r^3$$

According to question,

$$8\times\ \frac{4}{3}\times\ \pi\ \times\ r^3=\frac{4}{3}\times\ \pi\ \times\ R^3$$

$$8\times\ 1^3=\ \ R^3$$

R = 2 cm

Hence, Option A is correct.

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