How do I cut a 3D ring in half?

Very familiar with creating a sphere out of a semicircle. I know how to make a circular band. Can anyone tell me how to cut that band into a 3D segment? Grateful for any help.
Rob

I would do it like this:
Use 3D Extrude & Bevel on a stroked circle.
That way you can decide exactly where you want to cut the circle.
By the way, if you want the two pieces to fit together like this you must group them prior to extruding.

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