##### How many feet of copper can be obtained from the ingot?

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A copper refinery produces a copper ingot weighing 131 lb. If the copper is drawn into wire whose diameter is 8.15 mm, how many feet of copper can be obtained from the ingot? The density of copper is 8.94 g/cm3. (Assume that the wire is a cylinder whose volume is V = πr2h, where r is the radius and h is its height or length.)

Jun 10th, 2015

Thank you for the opportunity to help you with your question!

radius of the wire = 8.15/2 mm = 4.075 mm = 0.4075

volume of copper:
131 lb @ 453.6 g / lb @ 1 cm3 / 8.94 g = 6646.7 cm3

V = πr2h
6646.7 cm3 = (3.14) (0.4075 cm)^2 h
h = 6646.7/(3.14*0.4075^2) = 12747.39 cm
Since one foot equals 30.48 cm. the length is 12747.39/30.48 = 418.22 feet.

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Jun 10th, 2015

Thank you so much!!!!!!!! You explained it to me better than my teacher and now I understand it :D !!!

Jun 10th, 2015

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Jun 10th, 2015

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Jun 10th, 2015
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