Question

Metallic spheres of radii 4cm,8cm and 10 cm respectively, are melted to form a single solid sphere. Find the radius of the resulting sphere.​

Answer 1

Heya user..!!

Here is ur answer..!!

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• Let The radius of Metallic spheres are :

r1= 4cm,

r2= 8cm,

r3= 10 cm

• And  R be the radius of a single solid sphere.

• Volume of sphere  : 4/3 πr³

• Total volume of three spheres

• Volume of 3 metallic spheres= Volume of single solid sphere

→ 4/3 π (4)³+ 4/3 π (8)³+4/3 π (10)³= 4/3πR³

4/3π(4³+8³+10³) = 4/3 πR³

64 + 512+ 1000 = R³

1576  = R³

∴ R = 11.63729573

Hence, the radius of the resulting sphere =  11.63.... cm .

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I Hope this may help u..!!

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