A garbage can is in the shape of a cylinder with no lid. It needs to have a volume of 5000 cm3. What will be the radius and height of the can that uses the least amount of material to construct it? (Hint: Surface Area)

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter5: Factoring Polynomials
Section5.13: Using Factoring To Solve Problems
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This is an optimization calculus problem!! We need an equation with one variable along with a diagram along with the interval (i.e x
A garbage can is in the shape of a cylinder with no lid. It needs to have a
volume of 5000 cm³. What will be the radius and height of the can that uses
the least amount of material to construct it? (Hint: Surface Area)
Transcribed Image Text:A garbage can is in the shape of a cylinder with no lid. It needs to have a volume of 5000 cm³. What will be the radius and height of the can that uses the least amount of material to construct it? (Hint: Surface Area)
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