Deepak Bora
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A solid sphere of radius 3 cm is melted and then cast into small spherical balls, each of diameter 0.6 cm. Find the number of balls obtained.

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In the given problem there is need to use volume formula 2 time. In the given problem shape of the object is sphere to find answer of this question need to use sphere volume formula. Question from RS Aggarwal book chapter volume and surface area of solid, page number 810, exercise 17B, problem number 16


1 Answer

  1. Let the total number of balls be x

    Volume of the solid sphere =[4/3] πr³

    = [4/3] π * 3³

    = 36π

    Radius of spherical ball = 0.6​/2 = 0.3 cm

    Volume of a spherical ball =[4/3] πr³

    = [4/3] * π * [0.3]³

    = 36π / 1000

    Volume of x spherical balls = 36π / 1000

    Volume of the solid spheres = volume of x spherical balls

    36π = [36π / 1000] * x


    ∴ 1000 spherical balls are obtained by melting the given solid sphere.

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