- #1
Ronaldo95163
- 77
- 1
Homework Statement
I'm just required to setup the integral for the question posted below
Homework Equations
The Attempt at a Solution
So solving for phi @ the intersection of the sphere and the plane z=2:
z = pcos(phi)
2 = 3cos(phi)
phi = arccos(2/3)
so my limits for phi would go from 0 to arccos(2/3)
and my limits for theta would go from 0 to 2pi
for the surface integral dS would become 9sin(phi)
The rest of the integral I can obtain from just substituting x = psin(phi)cos(theta) y = psin(phi)sin(theta) and z = pcos(phi)
What I really want to be sure of is limits of integration.
Thanks in advance guys