# How many balls each of radius 0.5cm,can be made from a solid sphere of metal of radius 10cm by melting the sphere.

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by spr0akanksh

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by spr0akanksh

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let the no of spheres be x

volume of big sphere=4/3 phi 10^3

=4/3 phi 10^3 cu.cm

Volume of x spheres = x*4/3 phi 0.5^3

since volumes are equal

4/3 *phi* 10^3= x*4/3* phi* 0.5^3

on simplyfying we get

10^3=x*0.5^3

x=1000/0.5*0.5*0.5

x=8000 spheres