Express h in terms of r. b) Express the surface area of the can in terms of r. c) Approximate the value of r that will minimize the amount of required material (i.e. the value of r that will minimize the surface area). What is the corresponding value of h?

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 29E
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An aluminum can is to be constructed to contain 2900 cm3 of liquid. Let r and h be the radius of the base and the height of the can, respectively.

a) Express h in terms of r.

b) Express the surface area of the can in terms of r.

c) Approximate the value of r that will minimize the amount of required material (i.e. the value of r that will minimize the surface area). What is the corresponding value of h?

r=

h=

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