I'm trying to model something like the object on the left side of this photo:
I need to get a shape that is basically a sphere with two flattened areas, one at the bottom and one on the side with an angle. The part I'm having trouble with is getting the shape while maintaining a clean topology.
The best base topology seems like a cylinder, I just can't find a way to deform it perfectly with the Simple Deform (Bend) + Cast (Sphere) modifiers.
I would recommend using a boolean modifier, as that means you don't need to change the model topology at all. Create a sphere, the create a cube and position it over the sphere such that the cube overlaps the part of the sphere to be removed. Then put a boolean modifier on the sphere and select the cube, and select 'Difference'. Select the cube and press h to hide it, and you should get a nice, clean cut out of your sphere.