Q. 144.4( 19 Votes )

Let us write by calculating how many marbles with lengths of 1 cm. radius may be formed by melting a solid sphere of iron having 8 cm length of radius.

Answer :


Radius of small marbles = 1cm

Radius of big sphere = 8cm

Formula used:

Volume of big sphere = Volume of small spheres × No. of marbles

We know that Volume of sphere = (4/3)×π×r3

Volume of big sphere = (4/3)×π×(8)3 cm3

Volume of small sphere = (4/3)×π×(1)3 cm3

Putting the values,

(4/3)×π×(8)3 = (4/3)×π×(1)3 × No. of marbles

No. of small marbles = (8)3/(1)3 = 512

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