1. The problem statement, all variables and given/known data A solid sphere of radius R has a spherical cap, defined by the cone theta = alpha, removed from its "north pole". Determine the volume of the sphere without cap. 2. Relevant equations 3. The attempt at a solution Well obviously, the volume would be volume of sphere - volume of cap. I am able to derive the volume of the sphere and obtain the formula 4(pi)r^3/3, but I am not sure about the volume of the cap. Is this the same cap that is talked about? http://en.wikipedia.org/wiki/Spherical_cap If so, the volume would (pi)h^2/3(3r-h), and the answer could be found by subtracting the two quantities. My class focuses on deriving the quantities though, and I am confused and want to understand on where to start for deriving the volume of the cap.