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Homework Help: Find The Volume; Triple Integrals

  1. Nov 9, 2008 #1
    Find the volume of the solid enclosed by the paraboloids z = (x^2 + y^2 ) and z = 32 − ( x^2 + y^2) .

    To make this problem easier to look at I resorting to making it into cylindrical coordinates.
    {r, theta, z| 0< r< 1, 0<theta<2pi, r< z< 32-r}

    Every time I solve for this I end up getting 31pi and I'm being told it's constantly wrong.
    Last edited: Nov 9, 2008
  2. jcsd
  3. Nov 9, 2008 #2


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    Welcome to PF!

    Hi withthemotive! Welcome to PF! :smile:

    No, r goes from 0 to … ? :wink:

    (but isn't it easier just to take horizontal slices of thickness dz, and just integrate once, over z?)
  4. Nov 9, 2008 #3
    Re: Welcome to PF!

    I was looking at a similar problem on here, I think I might have figured it out now.
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