## cinar Group Title 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? 2 years ago 2 years ago

1. cinar Group Title

2. UnkleRhaukus Group Title

maintain a constant angle

3. cinar Group Title

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

4. UnkleRhaukus Group Title

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

5. UnkleRhaukus Group Title

|dw:1329454013591:dw|

6. cinar Group Title

you got it.. 13pi

7. cinar Group Title

sorry radius should be just 5..

8. UnkleRhaukus Group Title

$path = \sqrt{ (24π)^2 +(2π(5))^2 }$