Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. 3x = y², x = 0, y = 6; about the y-axis V = Sketch the region. y 7 6 5 4 3 2 1 5개 | 0.5 1.0 1.5 y 6 5 4 3 2 1 y 가 0.5 1.0 1.5 i

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter8: Further Techniques And Applications Of Integration
Section8.3: Volume And Average Value
Problem 19E
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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.
3x = y², x = 0, y = 6; about the y-axis
V =
Sketch the region.
y
7
6
5
4
3
2
1
0.5
1.0
1.5
6
5
4
3
2
1
y
0.5
1.0
1.5
i
Transcribed Image Text:Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. 3x = y², x = 0, y = 6; about the y-axis V = Sketch the region. y 7 6 5 4 3 2 1 0.5 1.0 1.5 6 5 4 3 2 1 y 0.5 1.0 1.5 i
O
y
7
6
5
4
3
2
2
4
6
8
10
Sketch the solid and a typical disk or washer.
12
X
y
7
6
5
4
3
2
1
2
4
6
8
10
12
X
Transcribed Image Text:O y 7 6 5 4 3 2 2 4 6 8 10 Sketch the solid and a typical disk or washer. 12 X y 7 6 5 4 3 2 1 2 4 6 8 10 12 X
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