# Surface integral : sphere

1. Apr 4, 2006

### denian

[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. Apr 4, 2006

### siddharth

Tried applying the divergence theorem? I think that would make your calculations much easier.

3. Apr 5, 2006

### denian

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

4. Apr 5, 2006

### HallsofIvy

Staff Emeritus
What you've done so far is fine. Your choice of $0\le v \le \frac{\pi}{2}$ 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
5. Apr 5, 2006

### denian

yes. i did it and i get 4pi
can someone help verify the answer? TQVM.