A radius forming tool, will generate a sphere.
The "Outer end" , and part of the "inner end"of the sphere is generated first.
The Inner end is gardually exstended until the sphere is parted off.
Life is agreat deal easier, if you don want a complete spher, but can live wiith a flat at the inner end, because the workpiece can be drilled and tapped and mounyted on arbor before using the radius turning tool.
Our biscuit barrel has an aluminium spherical knob which replaced the plastic one which cracked.
One of my "crowd pullers" at local shows is a small luminium sphere which will float and rotate on a 5 psi compressed air supply. It is homage to "The Rolling Stone" which can be seen, much larger, in a streetb in Luxemburg.
So, even with my limited skills, it can be dome.
Howard