Assuming random close packing, what is the formula for calculating how many equal spheres (each with a known diameter of "D1") could fit into a larger sphere (with a known diameter of "D2")?

Answer 1

This answer isn't practical; there will still be air-pockets.

d1 sphere=4/3*r^3*pi=4/3*.5^3*3.14=.522

d2 outer "=4/3*1^3*pi=4.178

over .522=8