Quote:

You are 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 wall.

Hint 2: 1 liter = 1000 cm³.

I believe my primary equation would be: .$\displaystyle A \:=\: 2\pi r^2 + 2\pi rh$

I think my secondary equation would be: .$\displaystyle \pi r^2h\:=\:1000$

Is that right? . . . . Yes!

I came up with a radius of 12.62 and a height of 2.00 . . . . no