An open-ended cylinder can be folded from a rectangular piece of paper \(ABCD\) in two ways: one in which \(AB\) meets \(DC\) and the other in which \(AD\) meets \(BC\).
For a particular piece of paper, the difference in volume of these two cylinders is \(1000cm^3 \).
If one edge length is \(10cm\) shorter than the other edge length, what is the perimeter (in cm, to 4 sig.figs.) of the rectangle \(ABCD\) ?
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