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ERIC Number: EJ774893
Record Type: Journal
Publication Date: 2007-Sep
Pages: 10
Abstractor: ERIC
Reference Count: 4
ISSN: ISSN-0020-739X
Surfaces of Revolution in "n" Dimensions
Aberra, Dawit; Agrawal, Krishan
International Journal of Mathematical Education in Science and Technology, v38 n6 p843-852 Sep 2007
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.
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Publication Type: Journal Articles; Reports - Descriptive
Education Level: N/A
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A