y g e 17. The volume V and paper surface area 4 of a conical paper cup are given by 1 V=nr'*h A=nar\\Vr: + h? 3 where r is the radius of the base of the cone and /1 is the height of the cone. a. By eliminating /1, obtain the expression for 4 as a function of r and V. b. Create a user-defined function that accepts R as the only argument and computes A for a given value of V. Declare V' to be global within the function. c. For V = 10in.3, use the function with the fminbnd function to compute the value of r that minimizes the area 4. What is the corresponding value of the height /? Investigate the sensitivity of the solution by plotting V' versus . How much can R vary about its optimal value before the area increases 10 percent above its minimum value