A garbage can is in the shape of a cylinder with no lid. It needs to have volume of 5000 cm3. What will be the radius and height of the can that 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 question for calculus, we need an equation with one variable along with an interval (if possible) and a diagram of the problem and possibly the intervals and numbers we get tested. Please help thank you so much! The problem is attached.
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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