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!

Homework Help: Surface integral : sphere

  1. Apr 4, 2006 #1
    [PLAIN]http://www.mrnerdy.com/forum_img/dont%20know.JPG [Broken]

    what do i need to do next to find the surface integral btw the planes z=1 and z=2?
    or is there anything wrong that i did?
    Last edited by a moderator: May 2, 2017
  2. jcsd
  3. Apr 4, 2006 #2


    User Avatar
    Homework Helper
    Gold Member

    Tried applying the divergence theorem? I think that would make your calculations much easier.
  4. Apr 5, 2006 #3
    i think we are not allowed to use divergence theorem for this question because divergence theorem will only be taught in the following sub-chapter
  5. Apr 5, 2006 #4


    User Avatar
    Science Advisor

    What you've done so far is fine. Your choice of [itex]0\le v \le \frac{\pi}{2}[/itex] gives the upper hemisphere. Now, of course, you have to determine what v is when z= 2 sin v= 1 and z= 2 sin v= 2 and use those limits in your integral.
    Last edited by a moderator: May 2, 2017
  6. Apr 5, 2006 #5
    yes. i did it and i get 4pi
    can someone help verify the answer? TQVM.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook