Question: Please help with the following calculus question: Problem 4. A cylindrical metal can (with covers both on the top and on the bottom of the

Please help with the following calculus question:

Please help with the following calculus question: Problem 4. A cylindrical metal

Problem 4. A cylindrical metal can (with covers both on the top and on the bottom of the cylinder) is to be made to contain 1 liter = 1000 am of liquid. Find the dimensions (i.e., the height and the base radius, measured in am ) of the can which minimize the total surface area of the can. (The volume of a cylinder with height h and base radius r is V = ar h.) (You may leave your answers in the form of powers/roots of certain numbers.)

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