Question

A copper rod of radius 1cm and length 10cm is drawn into a wire of length 40m of uniform thickness. Find the diameter of the wire.


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Answer 1

Copper rod

r 1 = 1cm

h 1 = 10cm

wire

r2 = ?

h2 = 40m

40 metres is equal to 4000cm

volume of rod = volume of wire

π(r1)²h1 = π(r2)²h2

1² × 10 = (r2)² × 4000

10 ÷ 4000 = (r2)²

(r2)² = 1 ÷ 400

r2 = √ 1 ÷ 400

r2 = 1 ÷ 20

r2 = 0.05cm

so, diameter is 0. 10 cm

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Answer 2

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