Wire is often sold in pound spools according to the wire gauge number. that number refers to the diameter of the wire. how many meters are in a 10-lb spool of 12-gauge aluminum wire? a 12-gauge wire has a diameter of 0.0808 in. and aluminum has a density of 2.70 g/cm3. (v = pr 2l

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