# 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.

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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