A solid sphere of radius 3 cm is melted and then recast into small spherical balls each ofdiameter 0.6cm. Find the number of balls.
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Let the radius of solid sphere be r₁ and for spherical ball be r₂ .
Now :
Number of ball = Volume of solid sphere / volume of spherical ball .
= 4 / 3 π r₁³ / 4 / 3 π r₂³
= 4 / 3 π × 3 × 3 × 3 / 4 / 3 π × 0.3 × 0.3 × 0.3
= 3 × 3 × 3 / 0.3 × 0.3 × 0.3
= 1000 .
Therefore , Number of balls is 1000 .
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