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June 10th, 2009, 07:02 PM   #1
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Paper length

I have a roll of paper on a 3'' spindle. The paper is 0.024'' thick, at the end the roll diameter is about 8.25'' for about 100 to 102 layers. It gives a length of 144 feet. I know all the stuff but I look for the differetial equation that could be used to solve this problem. I use Maple 11. Each turn, the diameter increase of 2*paper thickness and... Assumption: all layers are well stick (close) together.

I want absolutely to solve it with a differential equation because I have already other solutions (Archimed spiral, concentric circles, area method...)

Someone can help me??

Thanks!! )
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