General Discussion Undecided where to post - do it here. |
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Originally posted by KrazyHorse
Anyhow, one of the simpler interesting results from math is: Take the curve y = 1/x on the domain (0,1] Rotate this curve about the x axis (line of y = 0) You get an object shaped like an oboe. The surface area is infinite (logarithmically divergent) but the volume is finite. 1 + 1 = a window. Try it! |
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An oldie but goodie...
There's a cylindrical well with some amount of water in it. 2 sticks stand in it, reaching from the bottom at one side to the wall on the other and crossing themselves exactly at the surface of the water. One stick is 3 meters tall (or any other unit), the other 2 meters. The water stands 1 meter high. What's the diameter of the well? |
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Originally posted by Sir Ralph
Sure it's 2-dimensional, all takes place on a diametral cut through the 2 sticks. This doesn't mean it's as easy as it looks, though. The complexity of the problem has nothing to do with any cylinders anyway, rather with the fact that the width of the system is pretty basical to it. |
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