anonymous
  • anonymous
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?
Mathematics
jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
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UnkleRhaukus
  • UnkleRhaukus
maintain a constant angle
anonymous
  • anonymous
ok, I'll ask it in another way, what is the shortest way, I mean how long the way is

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UnkleRhaukus
  • UnkleRhaukus
try opening the cylinder up , turn it from 3d to 2d |dw:1329453899955:dw| then just use Pythagoras
UnkleRhaukus
  • UnkleRhaukus
|dw:1329454013591:dw|
anonymous
  • anonymous
you got it.. 13pi
anonymous
  • anonymous
sorry radius should be just 5..
UnkleRhaukus
  • UnkleRhaukus
\[path = \sqrt{ (24π)^2 +(2π(5))^2 }\]

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