Hi,
Many years ago I saw some ball bearings being lapped. The lap used two 6 foot diameter cast iron disks with pitch and lapping compound. The upper disk was rotating, and I can't remember if the lower disk rotated or not. The lower disk had a very fine spiral groove in the surface.
Rough but reasonably round balls were introduced into the center of the lower disk at the beginning of the spiral. While in the spiral groove, the balls rotate within the groove and also move through the spiral. By the time the ball gets to the outer edge of the spiral, it has been lapped to the proper diameter and it is also spherical because of the raandom rotation of the ball within the spiral groove has lapped off all the high spots.
If you imagine hundreds of small balls inbetween the two lapping plates, then it is apparent as to why the process can produce balls with such precision in the diameter.
Ever made meatballs or spherical cookies? You make a meatball by parallel but counter movement of the material between the palms of your hands. Similsar deal here