bumpI've been banging my head against the wall for a bit now and can't make any sense of this. I have to use spherical coordinates to find the volume inside the sphere x^2 + y^2 + z^2 = 9, and inside the cone z = (1/sqrt3)(sqrt (x^2 + y^2)).
I know I have to do a triple integral. Theta will be between 0 and 2pi. Since the radius of the sphere is 3, I think ro (or that p symbol that is basically radius in spherical coordinates) should be between 0 and 3.
What I am getting stuck on is thi, or the angle between the z and y axis. I tried to figure it out by sticking 1 for x and y in the cone equation and then solving for z, then using the distance formula to figure out ro (the distance from the origin to the point). With that I could then calculate thi since z = ro cos thi....but it ended up being totally off.
If anyone was able to follow along with this and could lend a helping hand, I would appreciate it SO much. Thanks.