In Problem 15 of Chapter 9, this equation was used to find the surface area of a cylinder with a conical base: 2V -+ xr csc 0 2 We can show by calculus that S is a minimum when the angle of the cone is given by 0= cos – 1(2/3). Use Solver to confirm that we did the differentiation correctly. How close is Solver's value to the expected one? Can you improve on this?

Trigonometry (MindTap Course List)
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Chapter3: Radian Measure
Section3.5: Velocities
Problem 44PS: Velocity at the Equator Assuming the radius of the earth is 4,000 miles, use the information from...
Question
In Problem 15 of Chapter 9, this equation was used to find the surface
area of a cylinder with a conical base:
2V
-+ xr csc 0
2
We can show by calculus that S is a minimum when the angle of the
cone is given by 0= cos – 1(2/3). Use Solver to confirm that we did
the differentiation correctly. How close is Solver's value to the
expected one? Can you improve on this?
Transcribed Image Text:In Problem 15 of Chapter 9, this equation was used to find the surface area of a cylinder with a conical base: 2V -+ xr csc 0 2 We can show by calculus that S is a minimum when the angle of the cone is given by 0= cos – 1(2/3). Use Solver to confirm that we did the differentiation correctly. How close is Solver's value to the expected one? Can you improve on this?
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