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Find the length of 13.2 kg of copper wire of diameter 4 mm, when 1 cubic cm of copper weighs 8.4 gm.

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Best answer

Given,

weight of copper wire = 13.2 kg

Diameter of wire = 4 mm

Radius of wire = \(\frac{4}{2}\) = 2 mm = \(\frac{2}{10}\) = 0.2 cm

Let length of wire = h cm

so,

weight of 1 cubic cm wire = 8.4 gm

= πr2h x 8.4 = 13.2 kg = 13200 gm

= h = \(\frac{13200\times 7}{22\times 0.2\times 0.2\times 8.4}\) = 12500 cm = 125 m

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