Question

240 square cm of metal is available to make a cylindrical can, closed on the top...

240 square cm of metal is available to make a cylindrical can, closed on the top and bottom. The can-making process is so efficient that it can use all of the metal. What are the radius and height of the can with the largest possible volume? Give exact answers and approximate answers.

Volume of a cylinder: V = πr2h

Surface area of a cylinder: 2πr2 + 2πrh

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