A copper sphere of diameter 18 cm is drawn into a wire of diameter 6 mm. Find the length of the wire.

108 m

Volume of sphere = \(\frac{4}{3}\)πr³

Volume of cylinder = πr²h

Radius of sphere = 9 cm

Radius of wire = 0.3 cm  [As 1 cm = 10 mm]

According to the question,

Volume of sphere = Volume of cylinder

⇒ \(\frac{4}{3}\)π9³ = π0.3²x

⇒ \(\frac{4}{3}\) × 729 = 0.3²x

⇒ 4 × 243 = 0.09x

⇒ x = 10800 cm = 108 m