
06271484
j
2014b.00477
Hoare, Graham
Spheres, cylinders and conces.
SYMmetryplus, No. 52, 1011 (2013).
2013
Mathematical Association (MA), Leicester
EN
G30
G40
elementary geometry
volume
surface area
solid geometry
right cones
right cylinders
spheres
ratio
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.
Peter D\"urr (Linkenheim)