A smooth bounded solid of finite volume and infinite surface is constructed. It is a variant of the classical Gabriel’s horn that is often taught in Calculus classes.
Suggested Mathematics Subject Classification(s)
Joseph Krenicky and Jan Rychtář, Notes on Gabriel's Horn, Furman University Electronic Journal of Undergraduate Mathematics, 11 (2016), 4-7. Available at: http://scholarexchange.furman.edu/fuejum/vol11/iss1/2