Book Problem 8 Let V be the volume of the solid S obtained by rotating about the y-axis the region bounded by y = √9 and y = 3x². Find V both by slicing and by cylindical shells: (A) The method of cylindrical shells: The circumference of a typical shell = The volume V = Therefore V -0 (B) The method of slicing from Sec(7.2): The volume V = dx, where a = Thus the volume V = dy, where a = and the height of this shell = and b= and b =

Book Problem 8 Let V be the volume of the solid S obtained by rotating about the y-axis the region bounded by y = √9 and y = 3x². Find V both by slicing and by cylindical shells: (A) The method of cylindrical shells: The circumference of a typical shell = The volume V = Therefore V -0 (B) The method of slicing from Sec(7.2): The volume V = dx, where a = Thus the volume V = dy, where a = and the height of this shell = and b= and b =

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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