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Surfaces of Revolution in "n" Dimensions


IJMEST Volume 38, Number 6, ISSN 0020-739X


This paper provides surface area and volume formulas for surfaces of revolution in R[superscript n]. In addition the authors illustrate how to obtain the formulas for volume and surface areas of revolution about the x- or y-axis in two different ways: a "heuristic" argument and a rigorous calculation using "cylindrical" coordinates. In the last section of this paper, the well known paradoxical phenomenon exhibited by Gabriel's horn is considered.


Aberra, D. & Agrawal, K. (2007). Surfaces of Revolution in "n" Dimensions. International Journal of Mathematical Education in Science and Technology, 38(6), 843-852. Retrieved April 18, 2021 from .

This record was imported from ERIC on December 3, 2015. [Original Record]

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