Now the inner diameter is about 1.95 inches, while the outer diameter is about 2.05 inches.

What is the change in density across it's cross section from inner to outer diameter?

Caveats:

1. For one, the circular cross section may turn into a slight oval.

2. Since the cross section density is not uniform we need a formula for the cross section density change, or for a change in cross sectional shape.

This inadvertently came up in another thread even though it was not really part of the origina problem.