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cinar

  • 4 years ago

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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  1. cinar
    • 4 years ago
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  2. UnkleRhaukus
    • 4 years ago
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    maintain a constant angle

  3. cinar
    • 4 years ago
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    ok, I'll ask it in another way, what is the shortest way, I mean how long the way is

  4. UnkleRhaukus
    • 4 years ago
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    try opening the cylinder up , turn it from 3d to 2d |dw:1329453899955:dw| then just use Pythagoras

  5. UnkleRhaukus
    • 4 years ago
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    |dw:1329454013591:dw|

  6. cinar
    • 4 years ago
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    you got it.. 13pi

  7. cinar
    • 4 years ago
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    sorry radius should be just 5..

  8. UnkleRhaukus
    • 4 years ago
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    \[path = \sqrt{ (24π)^2 +(2π(5))^2 }\]

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