Use the disk method or the shell method to find the volume of the solid generated by revolving the region bounded by the graphs of the equations about each given line. y = x² y = 0 x = 3 (a) the x-axis 32n 5 (b) the y-axis 8π X X (c) the line x = 4 96

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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Use the disk method or the shell method to find the volume of the solid generated by revolving the region bounded by the graphs of the equations about each given line.
y = x²
y = 0
x = 3
(a) the x-axis
32π
5
(b) the y-axis
8π
X
X
(c) the line x = 4
96π
5
Transcribed Image Text:Use the disk method or the shell method to find the volume of the solid generated by revolving the region bounded by the graphs of the equations about each given line. y = x² y = 0 x = 3 (a) the x-axis 32π 5 (b) the y-axis 8π X X (c) the line x = 4 96π 5
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