Question

a metallic sphere of radius 3 cm is melted and then cast into small spherical balls of diameter 0.6 cm. find the number of balls obtained? (assume that there is no wastage of metal during the process)

Answer 1

no. of balls =volume of sphere whose radius3/volume of sphere whose radius 0.3%2.

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Do it yourself

Answer 2

Answer:

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 .