Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. x = 2/3y, x = 0, y = 7; about the y-axis %3D V =

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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Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line.
x = 2/3y, x = 0, y = 7; about the y-axis
V =
Sketch the region.
y
y
y
7-
8.
8
6
4
4
4
2
1
1
2 3 4 5 6
7
1
2 3 4 5
4
8
y
7-
6.
3.
2.
2)
4.
Transcribed Image Text:Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. x = 2/3y, x = 0, y = 7; about the y-axis V = Sketch the region. y y y 7- 8. 8 6 4 4 4 2 1 1 2 3 4 5 6 7 1 2 3 4 5 4 8 y 7- 6. 3. 2. 2) 4.
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