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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.

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Radius of bigger sphere(R) = 3 cm
radius of smaller balls(r) = 0.6/2 = 0.3 cm
let the number of small balls = n

n×volume of a small balls = volume of bigger sphere

n\times \frac{4}{3} \pi r^3= \frac{4}{3} \pi R^3\\ \\ \Rightarrow n= \frac{R^3}{r^3} \\ \\\Rightarrow n= (\frac{R}{r} )^3=(\frac{3}{0.3} )^3=10^3\\ \\ \Rightarrow n=\boxed{1000}

Number of small balls is 1000.
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Thanxx for the help!! Grateful!!;)
happy to help!!:)
Radius of bigger sphere(R)-3cm Radius of smaller sphere(r)-0.3cm No. Of smaller sphere obtained=volume of bigger sphere/volume of smaller sphere =4/3πR×R×R/4/3πr×r×r =R×R×R/r×r×r =3×3×3/0.3×0.3×0.3 =1000 balls
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Thanxx for helping!! Appreciated!!;)
Yw dear
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