An aluminum can is to be constructed to contain 2600 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. (If needed you can enter Tas pi.) h = 0 b) Express the surface area of the can in terms of r. Surface area = 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? T= h =

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
ChapterA: Appendix
SectionA.2: Geometric Constructions
Problem 9P: A soda can is made from 40 square inches of aluminum. Let x denote the radius of the top of the can,...
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An aluminum can is to be constructed to contain 2600 cm³ of liquid.
Letr and h be the radius of the base and the height of the can respectively.
a) Express h in terms of r. (If needed you can enter * as pi.)
h =
b) Express the surface area of the can in terms of r.
Surface area =
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?
T=
h =
Transcribed Image Text:An aluminum can is to be constructed to contain 2600 cm³ of liquid. Letr and h be the radius of the base and the height of the can respectively. a) Express h in terms of r. (If needed you can enter * as pi.) h = b) Express the surface area of the can in terms of r. Surface area = 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? T= h =
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