Silver of volume 66 cm^3 is drawn into a cylindrical wire of diameter 1 mm. What is the length of the wire (in metres)?

Problem Restatement

Treat the wire as a cylinder with known volume and cross-sectional diameter; find its length.

Given data

• Volume V = 66 cm^3
• Diameter d = 1 mm = 0.1 cm → radius r = 0.05 cm

Concept / Formula

• For a cylinder: V = πr^2L
• Hence L = V ÷ (πr^2)

Step-by-step calculation

Area = πr^2 = π(0.05)^2 = π × 0.0025 ≈ 0.00785398 cm^2L = 66 ÷ 0.00785398 ≈ 8405.28 cm = 84.05 m (approx.)

Rounding

Length ≈ 84 m.