15.4: Lecture Shell Analogy for Cylindrical Transformations When r and z are theta Independent
Explanation
The animation explains the space for . Here when the shape is z-simple, for each r- infinitesimal ribbon in plane forms an infinitesimal rectangular solid in space that transforms to a shell in space. So in these cases, it is easier to investigate plane and set up the integral there; we can move to either end since a full rotation is done independently from the other variables.