(2) We have been working on finding minimums and maximums in our calculus class. You need to minimize the surface area of this can to keep cost as low as possible but did you notice that the surface area formula has too many variables? Let's try to simplify this. (a) Use the fact that the manufacturer requires the container's total volume to be kept at 370 cm³ in the volume formula and solve the volume formula for height. Substitute the expression for the height into the surface area formula, so that you have surface area as a function of radius only. Show your work in the space provided.
(2) We have been working on finding minimums and maximums in our calculus class. You need to minimize the surface area of this can to keep cost as low as possible but did you notice that the surface area formula has too many variables? Let's try to simplify this. (a) Use the fact that the manufacturer requires the container's total volume to be kept at 370 cm³ in the volume formula and solve the volume formula for height. Substitute the expression for the height into the surface area formula, so that you have surface area as a function of radius only. Show your work in the space provided.
Chapter5: Exponential And Logarithmic Functions
Section: Chapter Questions
Problem 22PS: In a classroom designed for 30 students, the air conditioning system can move 450 cubic feet of air...
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