We are given the density and the mass of the aluminium wire,
therefore we can calculate for the volume of the wire:
volume = mass / density
volume = 10 lb / [(2.70 g / cm^3) (1 lb / 454 g)]
volume = 1681.48 cm^3
The next thing we have to do is to calculate for length
or height of the wire using the formula for volume of cylinder:
V = π r^2 h
1681.48 cm^3 = h π (0.0404 in)^2 * (2.54 cm / in)^2
h = 159,684.192 / π
cm = 62867.79 / π cm
or without π:
h = 50,829.06 cm = 20,011.44 inch
