Arturo O. answered • 07/17/17

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You are given density ρ and mass m. Get volume from

V = m/ρ

But since

V = πr

^{2}h = πd

^{2}h/4,

(where d is the diameter, which you get from the gauge of the wire), you can combine the 2 equations above and get

h = [4 / (πd

^{2})] V = [4 / (πd

^{2})] (m/ρ)]

Final equation for h:

h = [4 / (πd

^{2})] (m/ρ)]

At this point, all you have left to solve is an elementary arithmetic problem. Just plug in the numbers in appropriate units.