MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Chapter 8, Problem 18P

A cylinder with base radius rand height h is constructed inside a sphere such that it is in contact with the surface of a sphere, as shown in the figure. The radius of the sphere is R = 11 in.

(a) Create a polynomial expression for the volume V of the cylinder in terms of h.

(b) Make a plot of V versus h for 0 h 11 in.

(c) Using the roots command determine h if the volume of the cylinder is 2000 in.3.

(d) Determine the value of h that corresponds to the cylinder with the largest possible volume, and determine that volume.

Chapter 8, Problem 18P, A cylinder with base radius rand height h is constructed inside a sphere such that it is in contact

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MATLAB: An Introduction with Applications

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