An aluminum can is to be constructed to contain 1900 cm3 of liquid. Let r and h be the radius of the base and the height of the can respectively. Find the radius of the base (r) and height of the can (h) that will minimize the amount of materials necessary to construct the can. The volume of a cylinder is given by V = ar2h and the surface area is A = 27rh + 2ar?. r 3= 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 10P: A soda can has a volume of 25 cubic inches. Let x denote its radius and h its height, both in...
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Can you help me find radius and height please ? 

An aluminum can is to be constructed to contain 1900 cm³ of liquid.
Let r and h be the radius of the base and the height of the can respectively.
Find the radius of the base (r) and height of the can (h) that will minimize the amount of materials necessary to construct the can. The
volume of a cylinder is given by V = ar²h and the surface area is A = 2rrh + 2r?.
%3D
r =
%3D
Transcribed Image Text:An aluminum can is to be constructed to contain 1900 cm³ of liquid. Let r and h be the radius of the base and the height of the can respectively. Find the radius of the base (r) and height of the can (h) that will minimize the amount of materials necessary to construct the can. The volume of a cylinder is given by V = ar²h and the surface area is A = 2rrh + 2r?. %3D r = %3D
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