Hi I have been looking for this triple integral almost a week now, I can not find a good integral at the end, I need to solve this with triple integrals, I know there are other ways to calculate it. Can someone solve this problem? I tried to solve it with cylindrical co-ordinates and spherical.
Let's have two spheres with radius R, one sphere his centre point is on the outer shell of the other, calculate the volume of the intersection of those two spheres, so for instance I took these two equations:
$$S1: x^2 + y^2 + z^2 = R^2$$
$$S2: (x-R)^2 + y^2 +z^2 = R^2$$
Thanks a lot!