Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. x = 4 V5y, x = 0, y = 3; about the y-axis V = Sketch the region. y y 3.5 3.5 3.0 3.0 2.5 2.5 2.0 2.0 1.5 1.5 1.0 1.0 0.5 0.5 X 10 15 10 15 y y 15 15 10 10 5 5 X 1 3 4 1 3 Sketch the solid, and a typical disk or washer. y y 15 15 10 10 5 5 X 1 -5 -5 -10 -10 15 y y 3 X 15 -15 -10 -5 10 15 -15 - 10 -5 10 2.

Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. x = 4 V5y, x = 0, y = 3; about the y-axis V = Sketch the region. y y 3.5 3.5 3.0 3.0 2.5 2.5 2.0 2.0 1.5 1.5 1.0 1.0 0.5 0.5 X 10 15 10 15 y y 15 15 10 10 5 5 X 1 3 4 1 3 Sketch the solid, and a typical disk or washer. y y 15 15 10 10 5 5 X 1 -5 -5 -10 -10 15 y y 3 X 15 -15 -10 -5 10 15 -15 - 10 -5 10 2.

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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Question

Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line.
x = 4 V5y, x = 0, y = 3;
about the y-axis
V =
Sketch the region.
y
y
3.5
3.5
3.0
3.0
2.5
2.5
2.0
2.0
1.5
1.5
1.0
1.0
0.5
0.5
10
15
10
15
y
y
15
15
10
10
5
5
1
2
3
4
2
3
Sketch the solid, and a typical disk or washer.
y
y
15
15
10
10
5
5
X
X
1
-5-
-5
-10
- 10
- 15
O-15|
y
y
4
3
15
-10
-5
5
10
15
- 15
- 10
-5
5
10
15

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