What length of wire, in meters, is found in a 1.00-lb. spool of 16-gauge copper wire?

Question

The diameter of metal wire is often referred to by its American wire-gauge number. A 16-gauge wire has a diameter of 0.05082 in. What length of wire, in meters, is found in a 1.00-lb. spool of 16-gauge copper wire? The density of copper is 8.92 g/cm^3.

Answer 1

1.00 pounds @ 453.6 grams / pound = 453,600 grams of copper

453,600 grams of copper @ 8.92 g/cm^3 = 50852 cm3 of copper

50852 cm3 @ 1 m3 / 1e6 cm3 = 0.05085 m3 of copper in volume

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0.05082 in --> -->  0.0020284 in2 in cross sectional area of the wire

0.002028 in2 @  0.000 6452 sq meter / sq inch = 1.31 e-6 m2 is cross section area

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0.05085 m3 volume / 1.31 e-6 m2 area = 38,855 metres

your answer (3 sig fig data): 38,900 metres