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Homework Help: Integration concept check

  1. Nov 8, 2011 #1
    The question asks to find an integral that gives the specified volume

    below the cone z=r, above the xy-plane, and inside the sphere x^2 + y^2+z^2 = 8.

    So essentially, we're finding the volume inside the cone? I know that the very top of the cone would include the top of the sphere.

    So does below cone = inside cone?
  2. jcsd
  3. Nov 8, 2011 #2


    Staff: Mentor

    No, it's the volume outside the cone, but inside the hemisphere. The cone comes to a point at the origin, and gets larger as z increases.
    Have you drawn a sketch of the situation? I don't think you have a good idea of the orientation of the cone.
    No, outside the cone.
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