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A solid metallic sphere of radius 10 cm is melted and recast into spheres of radius 2 cm each. How many such spheres can be made?

A solid metallic sphere of radius 10 cm is melted and recast into spheres of radius 2 cm each. How many such spheres can be made? Correct Answer 125

Given:

Radius of solid metallic sphere = 10 cm

Radius of smaller sphere = 2 cm

Concept used:

Volume of Sphere = 4/3πr3

Calculation:

Let the number of smaller spheres formed be n

A/Q-

4/3 × π × 103 = n × 4/3 × π × 23

⇒ n = (10/2)3

⇒ n = 125

∴ 125 such spheres can be formed.

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