Does the density of a liquid change with the shape of a container?
No. the density is a characteristic of the liquid itself and not dependant on the container holding the liquid. Think of it this way: would the boiling point of a liquid change with the shape of a container? Another thought: think of a very rich, dense chocolate cake, as opposed to a very light angel food cake. You can have a very thin slice of the chocolate cake, or a ridiculously decadent slab. both pieces have the same quality of denseness, even if one is much more fun to eat.
