How many balls can fit into a jar

The jar has a radius of 6" and a height of 24" and each ball has a radius of 1".

So I found the volume of the jar which is and the volume of the balls which is

And then I divided how many of the balls can go into the jar by dividing:

Does that number take into account the spaces between the balls when put into the jar? Like the small gaps when spheres are placed next to each other.

Re: How many balls can fit into a jar

See Sphere packing, Kepler conjecture, and an attempt to construct a computer-verified proof.

Re: How many balls can fit into a jar

Quote:

Originally Posted by

**daigo** Does that number take into account the spaces between the balls when put into the jar?

No.

Re: How many balls can fit into a jar

Yeah, you need to take into account the packing density, and the fact that it is not 1. Read emakarov's link to sphere packing.

Re: How many balls can fit into a jar

The 648 balls will fit IF you use a "ball grinder" on each,

grinding them to dust!!

Re: How many balls can fit into a jar

Thank you for this answer this will make very easy.