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Spheres, cylinders and conces. (English)
SYMmetryplus, No. 52, 10-11 (2013).
Starting with the ratio of the volumes of a sphere and its circumscribing cylinder, and the ratio of the corresponding surface areas, the article then goes into the corresponding ratios of the volumes and surface areas of a sphere and a circumscribing cone. Avoiding calculus and trigonometry throughout, the volume and the total surface area of the circumscribing cone are finally minimised.
Reviewer: Peter Dürr (Linkenheim)
Classification: G30 G40
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