66 cubic centimetres of silver is drawn into a wire 1 mm in diameter. The length of the wire in metres will be:

Correct answer: 84

Solution

The wire is cylindrical, so its volume is C0r²l. Here volume = 66 cm³ and diameter = 1 mm = 0.1 cm, so radius = 0.05 cm. Solving 66 = C0 × (0.05)² × l gives l = 84,000 cm = 84 m.

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