A carpenter drills a 1 cm radius hole through a wooden ball along a diameter. If the radius of the ball is 4 cm, determine the volume of remaining wood.
google will provide many discussions of this problem. You might start here:
https://socratic.org/questions/a-hole-of-radius-r-is-bored-through-the-center-of-a-sphere-of-radius-r-find-the-