Q. 18

Answer :

Given,

Diameter of sphere = 18 cm

Length of wire = 108 m = 10800 cm

Radius of copper sphere = m = 36 m

Volume of sphere = πr^{3} = × π × 9 × 9 × 9cm^{3} = 972π cm^{3}

Let the radius of wire be r cm

= πr^{2}l = πr^{2} × 10800

But the volume of wire = volume of sphere

⇒ πr^{2} × 10800 = 972π

r^{2} = = 0.09 cm^{2}

r = cm = 0.3

Hence, the diameter = 2r = 0.6 cm

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