1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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

    LCKurtz

    User Avatar
    Science Advisor
    Homework Helper
    Gold Member

    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.

    forumcylinders.jpg

    [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.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Use double integral to find the volume
Loading...