id: 06271484
dt: j
an: 2014b.00477
au: Hoare, Graham
ti: Spheres, cylinders and conces.
so: SYMmetryplus, No. 52, 10-11 (2013).
py: 2013
pu: Mathematical Association (MA), Leicester
la: EN
cc: G30 G40
ut: elementary geometry; volume; surface area; solid geometry; right cones;
right cylinders; spheres; ratio
ci:
li:
ab: 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.
rv: Peter Dürr (Linkenheim)