3) What are the dimensions of a right circular cylindrical can that will hold a volume of 512 cubic centimeters and will minimize the amount of material (surface area) used? Note: The volume of a cylinder is V = ar2h. The surface area of a cylindrical can (including ends and side) is S = 2rr2 + 2arh.

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
Section9.2: Pyramids, Area, And Volume
Problem 10E
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3) What are the dimensions of a right circular cylindrical can that will hold a volume of 512 cubic centimeters
and will minimize the amount of material (surface area) used?
Note: The volume of a cylinder is V = ar2h.
The surface area of a cylindrical can (including ends and side) is S = 2rr2 + 2arh.
Transcribed Image Text:3) What are the dimensions of a right circular cylindrical can that will hold a volume of 512 cubic centimeters and will minimize the amount of material (surface area) used? Note: The volume of a cylinder is V = ar2h. The surface area of a cylindrical can (including ends and side) is S = 2rr2 + 2arh.
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