The length of a wire (in cm) of 0.1 mm radius that can be drawn from melting a solid copper sphere of diameter 6 cm is:

360000

We know that,

Volume of cylinder = πr²l

r = radius of wire

l = length of wire

Volume of solid sphere = \(\frac{4}{3}\)πR³

R = Radius of the solid sphere

We have,

Radius of wire (r) = 0.1 mm

Diameter of solid copper sphere (D) = 6 cm

Volume of solid sphere = \(\frac{4}{3}\) × 3.14 × 3 × 3 × 3 = 113.04 cm³

Volume of wire = 3.14 × \(\frac{1}{100}\) × \(\frac{1}{100}\)  × l

We know that,

Volume of wire = Volume of solid sphere

3.14 × \(\frac{1}{100}\) × \(\frac{1}{100}\)  × l = 113.04 cm³

= l = 360000 cm