A hole of radius r is bored through the center of a sphere of radius R. Find the volume V of the remaining portion of the sphere.

Question

aum · Answer

If you want an accurate answer we can use calculus.
We can get an approximate value using algebra where we assume the central hole that is drilled is a cylinder when it is really not because the top and bottom ends of the cylinder are curved but we can assume they are flat.

anonymous · Answer

http://mathworld.wolfram.com/SphericalCap.html Calculate the sum of two spherical caps with the dimensions given plus the cylinder between the caps.