A copper refinery produces copper ingot weighing 120 lb. if the copper is drawn into wire whose diameter is 8.25 mm, how many feet of copper can be obtained from the ingot? The density of copper is 8.94 g/cm^3. (Assume that the wire is a cylinder).

Question

australopithecus · Answer

1. Convert 120lbs to grams

1lb = 453.59237g
so,

multiply lbs of copper by (453.59237/1) to get grams of copper

2. Find the volume that the copper takes up using density of copper,

set up a equality

 8.94 g/1cm^3 = grams of copper/x cm^3

solve for x to get volume that the copper takes up

3.
Use the equation for the volume of a cylinder

radius = diameter/2

Volume of a cylinder = pi*length*radius^2

or in your case

volume of copper = pi*length*radius^2

solve for length and you have your solution

anonymous · Answer

Thanks