Calculus Early Transcendentals 3rd.edition I.r.c.
3rd Edition
ISBN: 9780134766843
Author: Briggs
Publisher: PEARSON
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Chapter 6.4, Problem 5E
Let R be the region in the first quadrant bounded above by the curve y = 2 – x2 and bounded below by the line y = x. Suppose the shell method is used to determine the volume of the solid generated by revolving R about the y-axis.
- a. What is the radius of a cylindrical shell at a point x in [0, 2]?
- b. What is the height of a cylindrical shell at a point x in [0, 2]?
- c. Write an integral for the volume of the solid using the shell method.
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