under an appropriate level of abstraction you can make lots of types of cylinders. in topology you can define a cylinder of a (topological space) X to just be X × [0,1]. this kind of definition comes up pretty frequently, and is used to create mapping cylinders, which i suppose are another type of cylinder.
the “normal” kind of cylinder is then just (circle) × [0,1], or (filled in circle) × [0,1], depending on whether you want it to look like an empty paper towel roll or a (full) can of beans
under an appropriate level of abstraction you can make lots of types of cylinders. in topology you can define a cylinder of a (topological space) X to just be X × [0,1]. this kind of definition comes up pretty frequently, and is used to create mapping cylinders, which i suppose are another type of cylinder.
the “normal” kind of cylinder is then just (circle) × [0,1], or (filled in circle) × [0,1], depending on whether you want it to look like an empty paper towel roll or a (full) can of beans
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