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A spherical ball of radius 14 cm is melted and recast into small spherical balls of radius 7 cm each, in this process 20% of the material waste, then find how many complete small spherical balls can be made?

A spherical ball of radius 14 cm is melted and recast into small spherical balls of radius 7 cm each, in this process 20% of the material waste, then find how many complete small spherical balls can be made? Correct Answer 6

Radius of bigger spherical ball R = 14 cm

Radius of smaller spherical ball r = 7 cm

Let the number of small spherical ball be n.

According to the question

⇒ (4/3) × π R3 × 80/100 = n × 4/3 × πr3

⇒ R3 × 0.8 = n × r3

⇒ 143 × 0.8 = n × 73

⇒ n = 8 × 0.8 = 6.4

So, complete balls made only 6.

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