Forum, please correct me where I am wrong in my thinking.
Forget about cylinders, spheres, slices, and asteroids. If I am distance D1 from point mass M1 I weigh F1. If I am distance D2 from point mass M2 I weigh F2. The ratio F2/F1 invokes only D1, M1, D2 and M2.
We can treat the "cylinder"...