Solve applied problem
A solid aluminum cube measuring 15 inches on a side is melted and rolled into an aluminun wire that is 0.2 inches in diameter. What will be the length of this wire?

Question

radar · Answer

First find volume of the cube.  CubeVolume=15x15x15=3375 cubic inches.
Secondly, knowing that the wire will be the same volume, and further knowing the volume of a cylinder (that is what a wire shape is) would be the same.
3375=pi r^2 L(length)$$3375=\pi(.1^{2})L$$$$L=3375/(.01\pi)=107429.5866\in$$$$8952.4655 ft.$$