I have of length of flooring that is 3/8" thick, 12 foot wide and 20 foot long. If I roll the flooring up, what will be the diameter of the roll?
That depends on how it rolls up.
It will probably have to be rolled around a core, or else have a hole in the middle. How big will that core or hole be?
A less important effect is how the material bends. Will part of it compress, or will part stretch, or some of each? Both the top and the bottom can't stay the same length, and the volume will probably change.
But if I ignore both issues, we can just compare the cross-sectional area of the flat material (3/8 inch times 20 feet) with that of the roll (pi times radius squared). Doing this roughly, the radius would be the square root of 3/8 in times 240 in divided by pi:
[MATH]r\approx\sqrt{\frac{3/8\times 240}{\pi}} = 5.35[/MATH] inch
The diameter, of course, is twice that. So, roughly, less than a foot.