The volume V and paper surface area A of a conical paper cup are given by Where
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Question:
The volume V and paper surface area A of a conical paper cup are given by
Where r is the radius of the base of the cone and h is the height of the cone.
a. By eliminating h, obtain the expression for A as a function of r and V.
b. Create a user-defined function that accepts R as the only argument and computes. Given value of V. Declare V to be global within the function.
c. For V = 10 in.3, use the function with the fminbnd function to compute the value of r that minimizes the area A. What is the corresponding value or tne height ro investigate the sensitivity of the solution by plotting V versus r I-low much can R vary about its optimal value before the area increases 10 percent above its minimum value?
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