Question
A solid metallic sphere of radius 8 cm is melted and recast into spherical balls each of radius 2 cm . the number of spherical balls , thus obtained is :
Answer: Option C
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Volume of bigger sphere = `[ 4/3 pi xx (8)^3] cm^3 = (4/3 pi xx 512) cm^3`.
Volume of a ball = `[ 4/3 pi xx (2)^3] cm^3 = ( 4/3 pi xx 8) cm^3`
`:.` Number of balls = `((4/3 pi xx 512)/(4/3 pi xx 8)) = 512/8 = 64`
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