Question

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

Answer #1

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A cylindrical can is to have volume 1500 cubic centimeters.
Determine the radius and the height which will minimize the amount
of material to be used.
Note that the surface area of a closed cylinder is
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V=πr2h
radius =. cm
height = cm

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A microwaveable cup-of-soup package needs to be constructed in
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