The most common arcade trackball size is 3" I believe, but there were many other games that used different size trackballs. Atari had a large 4" trackball in many cabs (or was it 4.5"?). One bowling game even had a trackball the size of a bowling ball.

Not too sure how many cabs used a 2.25".
But I would definitely say that 3" was the most commonly used size across all cabs.