Homework Help: geometry

Posted by mary on Tuesday, January 17, 2012 at 6:56am.

a solid aluminum cube measuring 15 inches on a side is melted and rolled into an aluminum wire tat is 0.2 inches in diameter. what will be the length of this wire?

geometry - Reiny, Tuesday, January 17, 2012 at 7:46am
volume of original cube = 15^3 cubic inches
= 3375 cubic inches

The volume should stay the same.
Think of the wire as a "long" cylinder.
πr^2 h = 3375
π(.1^2)h = 3375
h = 3375/(.01π) = appr. 107430 inches
or appr. 8952 ft

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