00:01
Okay, so one thing i want to clarify over here is this sphere actually is not centered over here, you know, so like this, okay? anyway, we'll get to the numbers, but this is rho squared, and z is rho cosine of phi, so rho is cosine of phi for this sphere.
00:34
And then the theta is 0 to 2 pi, and phi is this angle right here, and it comes from the cone, okay? because z is rho cosine of phi, and square root of x squared plus y squared is rho sine phi.
00:58
So rho cancels out, tangent phi becomes 1, that means phi is equal to 4, pi over 4.
01:05
So you do 0 to 2 pi, 0 to pi over 4, and rho is 0 to cosine of phi, rho squared sine phi, d rho, d phi, d theta...