Question: A can (cylinder with flat end caps) is being designed to enclose a fixed volume of V cm3. (a) The current design that is being

A can (cylinder with flat end caps) is being designed to

A can (cylinder with flat end caps) is being designed to enclose a fixed volume of V cm3. (a) The current design that is being replaced encloses a volume of 71200 cm" has a radius of 10 + 0.2 cm and a height of 12 4 0.07 cm. Use differentials to find the error in the volume. (Hint: think of volume, radius, and height being functions of some common input variable.) (b) What dimensions will minimize the amount of material needed

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