4. Consider the region bounded by the graphs of y = =x², y = 26, and x = 10 in the first quadrant. What is the volume of solid obtained by rotating this region about the line x=7? (a) Sketch a graph of the region. (b) Using the washer method, identify an expression for the "outer radius" and "inner radius" of each cross section in terms of y. (c) Set up an integral that represents the volume of the solid of revolution using the washer method. [NOTE: You do not need to evaluate the integral!]

4. Consider the region bounded by the graphs of y = =x², y = 26, and x = 10 in the first quadrant. What is the volume of solid obtained by rotating this region about the line x=7? (a) Sketch a graph of the region. (b) Using the washer method, identify an expression for the "outer radius" and "inner radius" of each cross section in terms of y. (c) Set up an integral that represents the volume of the solid of revolution using the washer method. [NOTE: You do not need to evaluate the integral!]

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter10: Analytic Geometry

Section10.1: The Rectangular Coordinate System

Problem 40E: Find the exact volume of the solid that results when the region bounded in quadrant I by the axes...

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