How might one manage to find the surface area and volume of the following constructs?
Rotini: A geometric figure I've found to be similar is the helicoid. However, the helicoid (having been formed from a 2D plane) has an edge width equal to epsilon, whereas the edges of a fully 3D rotini-like construct would be roughly catenarian in shape.
Fusillibucati/Cavatappi: The only difference between the two is length. Cavalieri's principle could possibly be at play here, but the topography could potentially suggest otherwise.
Campanelle: No hints for this one, good luck.
Casarec