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Complementary Coffee Cups

by Thomas Banchoff

This article originally appeared in:
College Mathematics Journal
May, 2006

Subject classification(s): Calculus | Single Variable Calculus | Integration
Applicable Course(s): 3.1 Mainstream Calculus I | 3.4 Non-mainstream Calc I

This capsule  started with two coffee cups that are complementary, i.e., their profiles fit together. The author then explores the condition in which the two cups, obtained as solids of revolution, have the same volume.

A pdf copy of the article can be viewed by clicking below. Since the copy is a faithful reproduction of the actual journal pages, the article may not begin at the top of the first page.

To open this file please click here.

Capsule Course Topic(s):
One-Variable Calculus | Integration: Applications
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