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Question

How many balls each of radius 1 cm can be made by melting a bigger ball whose radius is 8 cm?


A

456

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B

512

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C

868

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D

984

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Solution

The correct option is B

512


Volume of the big solid sphere = n × volume of the smaller spheres

43πr3=n×43×π×13 [Volume of a sphere = 43πr3, where r is the radius]
43πr3×341π=n
r3=n
83=n
512 = n
We can make 512 balls of radius 1 cm out of solid sphere of radius 8 cm.

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