66 cubic cm of silver is drawn into a wire 1 mm in diameter. Calculate the length of the wire in metres.

Given,

Volume of the wire = 66 cm³

Diameter of the wire = 1 mm

Radius (r) of wire = 12 = 0.5 mm = 0.05 cm

Let the length of the wire be l

As,

Volume of the wire = 66 cm³

⇒ πr²l = 66

⇒ 227 × 0.05 × 0.05 × l = 66

⇒ l = 66 × 722 × 0.05 × 0.05

Therefore,

l = 8400 cm = 84 m

So,

The length of the wire is 84 m.