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Use double integral to find the volume

  1. Oct 22, 2009 #1
    1. The problem statement, all variables and given/known data
    bounded by x^2+y^2=r^2 and y^2 +z^2=r^2
    i guess r is just a random constant

    2. Relevant equations

    3. The attempt at a solution
    i dont even have a clue of how to start this question
  2. jcsd
  3. Oct 22, 2009 #2


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    I have posted a "freehand" picture to get you started. The picture shows the intersection of the cylinders in the first octant so it represents 1/8th of the volume. You will want to use a yz integral. I have oriented it so to make it "easier" to see.


    [EDIT] Corrected mis-labeling of axes, use an xz integral
    Last edited: Oct 23, 2009
  4. Oct 22, 2009 #3
    Actually that illustration is for x2+y2=r2 and x2+z2=r2.

    Not a huge deal though, since it gives the same numerical answer either way. Just rotate the axis labels one place in the clockwise direction and use an xz integral.
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