Find the dimensions (both radius and height) of a soup can with a volume of 432 cm³ that minimize total surface area (ie, the lateral surface are plus both the top and bottom of the can).

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.1: Prisms, Area And Volume
Problem 34E: The numerical value of the volume of a cube equals the numerical value of its total surface area....
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Find the dimensions (both radius and height) of a soup can with a volume of 432 cm3 that
minimize total surface area (ie, the lateral surface are plus both the top and bottom of the can).
Transcribed Image Text:Find the dimensions (both radius and height) of a soup can with a volume of 432 cm3 that minimize total surface area (ie, the lateral surface are plus both the top and bottom of the can).
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