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Estimate the dimentions of the bb -- say 1 - 1.5 mm in diameter?? Work out the area 1 mole (6.02*10^23) of bbs would cover. Divide this by area of the state to find out the number of layers of bbs you have - multiply by the diameter for the depth.
Not so easy - distance between layers is not R (or 2r).
Sorry - but, ball bearings can be of different sizes (?), can it be baseball (in general size is same).
I certainly have never seen a baseball sized ball bearing. It would be quite heavy.
Ahh... I see where your coming from - are you suggesting they hexagonally close pack the layers on top of each other so that 3 layers for example would not equal to 3R!?