If you're milling an ellipsoid pocket in a block, typically rough with a 1/2 inch 4 flute center cutting end mill with a 1/32 radius, and finish with a 3/8 four flute ball end mill. I assumed an inch mean on the ellipsoid. That will work for larger pockets too..
The basic rule is to use a ball em that has a smaller radius than the profile you need to cut.
Coated carbide is the way to go. It is rigid, and holds its edge.
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