You are here:

Surfaces of Revolution in "n" Dimensions
ARTICLE

,

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

Abstract

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.

Citation

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 January 19, 2020 from .

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

ERIC is sponsored by the Institute of Education Sciences (IES) of the U.S. Department of Education.

Copyright for this record is held by the content creator. For more details see ERIC's copyright policy.

Keywords