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Volume Integral

  1. Jan 20, 2016 #1
    Use an appropriate volume integral to find an expression for the volume enclosed between a sphere of radius 1 centered on the origin and a circular cone of half-angle alpha with its vertex at the origin. Show that in the limits where alpha = 0 and alpha = pi that your expression gives the expected values.

    Any ideas or clues? Where alpha = pi I think the volume will be half the volume of the sphere.
  2. jcsd
  3. Jan 20, 2016 #2


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    Staff: Mentor

  4. Jan 21, 2016 #3
    that's actually very helpful, thanks
  5. Jan 21, 2016 #4


    Staff: Mentor

    Please post homework or homework-like problems in the Homework & Coursework sections, not here in the technical math sections.
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