You have been asked to design a 1-liter cylindrical can made with sheet
aluminum. What dimensions of the can (radius and height) will use the least total
amount of aluminum? State dimensions to the nearest hundredth of a
Hint 1: The aluminum must cover both ends of the can as
well as the circular wall.
Hint 2: 1 liter = 1000 cm^3
I believe my primary equation would be: 2TTr^2 + 2TTrh
I think my secondary equation would be: TTr^2h=1000
Is that right?
I came up with a radius of 12.62 and a height of 2.00
We are supposed to have all of the following...
• Primary equation
• Secondary equation, if applicable
• Statement of domain
• Critical numbers and FDT to establish relative extrema
• Concluding statement(s) to answer the question.