The volume V and paper surface area A of a conical paper cup are given by v = mrh A = arVP + h? 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-de ned 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.
The volume V and paper surface area A of a conical paper cup are given by v = mrh A = arVP + h? 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-de ned 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.
Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
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Chapter1: Introduction
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Transcribed Image Text:The volume V and paper surface area A of a conical paper cup are given by
V =rh
A = arVP + h?
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-de ned 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_ 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 of the height h? Investigate the sensitivity of the solution
by plotting V versus r. How much can R vary about its optimal value before the area increases 10 percent
above its minimum value
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