CIRCLE WITH A DOT

I just put these files on Thingiverse for anyone to download and print https://www.thingiverse.com/thing:7305536

@sibrosan Ah! I misuderstood your original comment. I thought you just wanted me to make the model larger. You are 100% correct. In fact, this is version 2.0. For version 1.0, the sphere was smaller with the same thickness walls, and when I sliced the sphere straight across, the difference in weight was measurable. So, in this version 2.0, I made the sphere larger and the slices are sliced along cones converging at the origin rather than along flat planes. That way, the "height" of each radial shell in the thin solid object is the same. (It has the added benefit that one ring sits slightly inside its neighbor, which is nice.)

@sibrosan Did you see the second of the two posts? That's essentially what I did (but with different dimensions).

Another 3D-printing suggestion from Colm Mulcahy:

Archimedes proved that if you slice a sphere of radius r with two planes a distance h apart, the surface area is 2πrh—the same as a cylinder of the same radius and height. So, it doesn't depend on where the slicing occurs.
1/2

Idea: Produce 3D-printed slices of a (hollow) sphere, all of the same height. Print with 100% fill. They should all weigh the same.

Bam!