00:01
All right, so first thing that we notice is that we can rewrite our cone like this, and we can rewrite our sphere like this.
00:10
So if we set these two equal to each other, we'll be able to find our intersection for our r.
00:16
That's 1 over rad 2, and our theta is going to run from 0 to pi.
00:22
We're just going over this sphere.
00:24
All right, so setting up our integrals like that, so it is below the sphere and above the cone.
00:33
So below the sphere.
00:35
So the sphere minus the cone, r, dr, d theta.
00:43
All right.
00:43
This integral doesn't depend on theta.
00:47
So we can rewrite as a split like so.
01:01
Like this.
01:06
All right...