It's not a bad question, although I don't know the answer. Clearly the domain is elasticity theory.
https://en.wikipedia.org/wiki/Elasticity_(physics)I figure a somewhat obvious step towards tackling it. You take a half ball (the interiour of x^2+y^2+z^2=R^2 with x>0, where z pointer upwards) of a homogenous substance and fix the bottom surface (2D disk) to a wall. If gravity pulls the jelly down, what shape does it take. What are the models that govern this sort of structure (say something between fat and muscle tissue)