MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
5th Edition
ISBN: 9781118629864
Author: Amos Gilat
Publisher: WILEY
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Chapter 9, Problem 10P

A paper cup shaped as a frustum of a cone with R 2 = 2 R 1 , is designed to have a volume of 250 cm3. Determine R1, R2, and h such that the least amount of paper will be used for making the cup.

The volume and the surface area of the paper cup are given by:

V = 1 3 π h R 1 2 + R 2 2 + R 1 R 2

S = π R 1 + R 2 R 2 R 1 2 + h 2 + π R 1 2 + R 2 2

Chapter 9, Problem 10P, A paper cup shaped as a frustum of a cone with R2=2R1 , is designed to have a volume of 250 cm3.

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MATLAB: An Introduction with Applications

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