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Choosing Disk, Washer, or Shell Method
Worksheet
Grade Level
Calculus II
CAL2.69 Choosing Disk, Washer, or Shell Method
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Region R is bounded by x=√y and x=y/2 for 0≤y≤4. R is revolved about the y-axis. Which setup is correct?
A
Shell method; V = 2π∫_0
4
y(√y-y/2) dy
B
Washer method; V = π∫_0
4
[y-(y/2)
2
] dy
C
Disk method; V = π∫_0
4
y dy
D
Washer method; V = π∫_0
4
[(y/2)
2
-y] dy
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