Many forms can be made simply by redefining how we think of them. By imagining the form as a roof, it leads us to being bounded by the limitations, however pragmatic, of the roof tool - tilted prisms....
If you think past this, the profiler is your answer, but it is not just one step to learn.
The profiler - not automatically installed but residing in your goodies folder- extrudes a shape along a path or rotates a shape around an axis.
The principle you'd use to make half a football is to define the profile of the extended dome and execute the profiler command.
This results in a 360 degree football on end. In the element dialog, you reduce the sweep to 180 degrees and apply an angular offset to lay the shape down.
The object I made required an increase of resolution - I inadvertently had the magic wand setting rather coarse and adjusted the RESOL of the dome in the GDL 3D script of the element
Dwight Atkinson