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Math Help - Volume of the intersection of two cylinders

  1. #1
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    Volume of the intersection of two cylinders

    Not sure if this is the right subforum. Advanced geometry comes to mind but it's in a basic calculus course.

    The problem is:
    Two, straight, circular cylinders with radius R have the x-axis, and y-axis for their symmetry axes. What is the volume of the area that is within both cylinders?

    I'm completely lost and don't even know where to start. I think I want to find an expression for a "plate" and integrate on x but I can't really 'see' it. Any thoughts/hints/solutions?

    Thanks in advance!
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