You can put this solution on YOUR website!
The diameter of the ball is the same as the width of the box, and 2 times the radius.
The formula for volume of a sphere says that a ball of the radius
has a volume of
A cube-shaped box of inside width
has an inside volume of
The ratio of the volumes is
The sizes of ball and box do not matter.
As long as the ball fits tightly in the box, and the box is cube-shaped, the ratio is the same.
If you are curious,
and that would make the diameter of your billiard ball 14mm.
That is way too small, marble size.
I did not use a calculator to find
I just divided 2744 by 2, by 2, by 2, and by 7 to get 49 and realize that the prime factorization is
so I knew that