Chapter 8.P1, Problem 2P

After viewing the results of her computer experiments, it slowly dawns on the hydrologist that the “optimal shape” of the container is consistent with what would be expected based on the conceptualization that the water in the ideal container would consist of a collection of small parcels of water of mass $m$, all possessing the same amount of potential energy. If laboratory spatial constraints were not an issue, what would be the ideal “shape” of each container? Perform a computer experiment that supports your conclusions based on potential energy considerations.