cinar
here is the question!
an ant wants to go from A to B but at the same time rotate once around cylinder, what is the shortest way to do that?



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cinar
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UnkleRhaukus
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maintain a constant angle

cinar
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ok, I'll ask it in another way, what is the shortest way, I mean how long the way is

UnkleRhaukus
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try opening the cylinder up , turn it from 3d to 2d
dw:1329453899955:dw
then just use Pythagoras

UnkleRhaukus
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dw:1329454013591:dw

cinar
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you got it.. 13pi

cinar
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sorry radius should be just 5..

UnkleRhaukus
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\[path = \sqrt{ (24π)^2 +(2π(5))^2 }\]