A cylindrical can of height h and radius r is to be made with a fixed volume V. Show that the area of material used is minimised when h = 2r.
A cylindrical can of height h and radius r is to be made with a fixed volume V. Show that the area of material used is minimised when h = 2r.
Elementary Geometry for College Students
6th Edition
ISBN:9781285195698
Author:Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:Daniel C. Alexander, Geralyn M. Koeberlein
Chapter9: Surfaces And Solids
Section9.3: Cylinders And Cones
Problem 41E: A cylindrical storage tank has a depth of 5 ft and a radius measuring 2 ft. If each cubic foot can...
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Transcribed Image Text:A cylindrical can of height h and radius r is to be made with a fixed volume V.
Show that the area of material used is minimised when h = 2r.
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