Q. 45.0( 6 Votes )

A solid sphere of radius 3 cm is melted and then recast into small spherical balls each of diameter 0.6 cm. Find the number of small balls thus obtained.

Answer :

Given that Radius of bigger sphere (R) = 3cm


and diameter of smaller spherical balls = 0.6cm


So, radius of small spherical balls (r) = 0.3cm


Let the number of small balls = n


According to the question,


n × volume of small balls = Volume of bigger sphere



nr3 = R3





n = (10)3


n = 1000


Hence, the number of small balls = 1000


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