Question

a solid sphere of r=3cm, melted and recasted into small spherical balls of d=0.6cm. find the no. of balls

Answer 1

Here, radius of sphere = 3 cm

Diameter of spherical ball = 0.6 cm

Radius of spherical ball = 0.3 cm

Number of balls = Volumeofthesphere
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Volumeof1smallball
= 4/3×22/7×3^3
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4/3×22/7×0.3^3
= 4/3×22/7×27
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4/3×22/7×0.027
=1000
∴ Number of small balls obtained = 1000

Answer 2

HÉŸ FŘÎÉŃĐ,

here is your answer...

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Let the radius of big sphere be R and small spheres be r.

volumn of big sphere = 4/3πR² = 4/3×22/7×3×3
= 113.1 cm³

volumn of small sphere = 4/3πr² = 4/3×22/7×0.3×0.3
= 0.11 cm³

No. of small sphere = 113.1/0.11 = 1028

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