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Volumes by Washer Method
Grade Level
Calculus I
CAL1.129 Volumes by Washer Method
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Region R is bounded by x = -2*y
2
+ 10*y - 5 and x = 2*y + 1; the curves meet at y = 1 and y = 3. R is revolved about the line x = -3. Which option gives the washer-method integral and the exact volume?
A
Integral: pi*int_{1}
3
[((2*y + 1) + 3)
2
- ((-2*y
2
+ 10*y - 5) + 3)
2
] dy; Volume: -704*pi/15
B
Integral: pi*int_{1}
3
[((-2*y
2
+ 10*y - 5) + 3)
2
+ ((2*y + 1) + 3)
2
] dy; Volume: 4624*pi/15
C
Integral: pi*int_{1}
3
[((-2*y
2
+ 10*y - 5) + 3)
2
] dy; Volume: 888*pi/5
D
Integral: pi*int_{1}
3
[((-2*y
2
+ 10*y - 5) + 3)
2
- ((2*y + 1) + 3)
2
] dy; Volume: 704*pi/15
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