Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Triple Integral and volume

  1. Oct 16, 2009 #1
    Just needing to check an answer really. The question is as follows;

    The domain bounded by the surface of a paraboloid z=2-x^2-y^2 and that of a cone z^2=x^2+y^2 is given by D = ( x,y,z : x^2+y^2 [tex]\leq[/tex] 1, sqrt(x^2+y^2) [tex]\leq[/tex] z [tex]\leq[/tex] 2-x^2-y^2 ). Find its volume using the appropriate coordinate system.

    I've used cylindrical coordinates for this problem and found the answer to be (5*Pi)/6. Can anyone tell me if this is actually correct or have a made a mistake somewhere along the way?

  2. jcsd
  3. Oct 16, 2009 #2
    That's exactly correct.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook