When the shaded region is rotated around the y-axis, a horizontal strip of vertical span Ay creates a disk. The radius of this disk is r =

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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Only part 3 has to be answered, please box the answer for part 3. Part one is there for full question information.

Step 3
When the shaded region is rotated around the y-axis, a horizontal strip of vertical span Ay creates a disk.
The radius of this disk is r =
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Transcribed Image Text:Step 3 When the shaded region is rotated around the y-axis, a horizontal strip of vertical span Ay creates a disk. The radius of this disk is r = Submit | Skip (you cannot come back)
Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified
line.
y = In 6x, y = 2, y = 3, x = 0; about the y-axis
Step 1
We will use horizontal strips. Such a strip has a vertical span of Ay. Sketch the region.
y
4
3
2
X
-1
1
4
-1
1.
3
4
y
y
3
2
X
-1
1
4
5
1
4
-1H
Transcribed Image Text:Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = In 6x, y = 2, y = 3, x = 0; about the y-axis Step 1 We will use horizontal strips. Such a strip has a vertical span of Ay. Sketch the region. y 4 3 2 X -1 1 4 -1 1. 3 4 y y 3 2 X -1 1 4 5 1 4 -1H
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