Is there an advanced mathematical/geometry term for a "hollow cylinder/pipe"? If I just use the term cylinder, it evokes a solid, like a dowel. I would like to properly describe a toilet paper roll type of cylinder.
Thank you!
2026-03-27 10:45:48.1774608348
Mathematical term for a hollow cylinder?
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According to Wolfram Alpha, the best mathematical term is cylindrical shell. Other names for the same thing include "pipe" and "hollow cylinder" as the OP mentions. Personally, I prefer "tube".
To clarify, the term "cylinder" is ambiguous, as explained in detail by Wolfram. In its most common usage, it refers to a right circular cylinder, which is a solid. Other kinds of solids are also called cylinders, one possible difference being that the end planes are not at right angles to the axis.
However, in some mathematical contexts, "cylinder" refers to just the surface of such an object, which is less ambiguously called a "cylindrical surface". (Wolfram points out that topologists do not consider this a true "surface", adding to the confusion.)
The OP asks about a "hollow cylinder", "pipe", and "toilet paper roll". That suggests to me the correct term is "cylindrical shell", which is a solid, rather than "cylindrical surface" (or "cylinder" in that meaning).