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Disk Method Around a Coordinate Axis
Worksheet
Grade Level
Calculus II
CAL2.65 Disk Method Around a Coordinate Axis
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The region bounded by x = sqrt(25 - y
2
), the y-axis, y = 3, and y = 5 is revolved about the y-axis. Which disk-method setup and computed volume are correct?
A
V = pi∫_{3}
5
(sqrt(25 - y
2
)) dy = pi(-50asin(3/5) - 24 + 25pi)/4
B
V = pi∫_{3}
5
(sqrt(25 - y
2
))
2
dy = 52pi/3
C
V = ∫_{3}
5
(sqrt(25 - y
2
))
2
dy = 52/3
D
V = pi∫_{3}
5
(2(sqrt(25 - y
2
)))
2
dy = 208pi/3
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