Use the method of cylindrical shells to find the volume V of the solid obtained by rotating the region bounded by the given curves about the x-axis. x = 2 + (y - 5)?, x = 18 V = Sketch the region and a typical shell. y 10 y 10- 8 5- 10 15 20 4 2 -5 -15 - 10 -5 10 15 -10- y y 10| 10 8 5 6 10 15 20 -5 -15 -10 -5 10 15 O-101
Use the method of cylindrical shells to find the volume V of the solid obtained by rotating the region bounded by the given curves about the x-axis. x = 2 + (y - 5)?, x = 18 V = Sketch the region and a typical shell. y 10 y 10- 8 5- 10 15 20 4 2 -5 -15 - 10 -5 10 15 -10- y y 10| 10 8 5 6 10 15 20 -5 -15 -10 -5 10 15 O-101
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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Transcribed Image Text:Use the method of cylindrical shells to find the volume V of the solid obtained by rotating the region bounded by the given curves about the x-axis.
x = 2 + (y - 5)?, x = 18
V =
Sketch the region and a typical shell.
y
10
y
10-
8
5-
10
15
20
4
2
-5
x
-15
- 10
-5
10
15
-10-
y
y
10|
10
8
5
6
10
15
20
-5
-15
-10
-5
10
15
O-101
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