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

centimeter.

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.