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14 January, 16:26

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

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  1. 14 January, 16:37
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    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
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