I just saw this thread, I did a lot of work in aerospace with composites.
We built all kinds of parts with CF as well as other materials. We mainly use pre-preg and you have to lay up some of your part, draw vacuum on it and debulk it, then finish your layup. The layup and debulk may have to be repeated several times depending on the thickness of the part.
After that we could "cook" the parts under vacuum in an autoclave with pressure and heat to cure the resin.
We had big CNC tape laying machines to do the layup but would do repairs or small parts by hand using 12 in wide single ply layers of CF tape. The tape came in 12 inch wide roles and the orientation of each layer was laid in different directions (0, +45, 90, -45 ) to build rigidity into the part .
Round layups were done with the part spinning and a rope (more than one strand) feeding into the layup like a spider web. There my be some video's on the web about arrow (like in bow and arrows) making. That is the same process we used. It was large scale and millions of dollars worth of equipment. There may be other ways to do it but I am not aware of what that process is.