Question

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

Answer 1

Diameter of the wire = 1 mm

Radius of wire = r = 1/2 mm = 0.5 mm = 0.05 cm

Let the length of the wire be h

Volume of the wire = 66 cm³

πr²h = 66

22/7 x 0.05 × 0.05 × h = 66

h = (66 x 7 x 400)/22

h = 8400

Length of the wire is 8400 cm or 84 m.