After some thought I have decided to first develop an egg-shaped container that will conveniently hold one gallon of paint. I had to look up a volume formula for an ellipsoid and convert some measurements back and forth. I might go back to metric and refine things a bit. At this point I'm merely happy to develop an armature out of styro-foam that can be found in a home improvement store at 1/2" thick.
Illustrations follow which approximate the measurements I need:

The basic armature.

The short side.

The long side.
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