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Finding volume using integration

by theBEAST
Tags: integration, volume
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theBEAST
#1
Dec28-11, 08:17 PM
P: 368
1. The problem statement, all variables and given/known data
Given x=y^2, x=1 what is the area of the solid when the area between the two curves is rotated about x=1.

3. The attempt at a solution
I attached my solution and according to the answer key my area formula (pi-pi*y^4) is wrong. Instead they have pi*(1-y^2)^2. Can anyone explain why my area formula is wrong? I thought that it was the area of the upper boundary curve minus the area of the lower boundary curve...
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SammyS
#2
Dec28-11, 08:30 PM
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Quote Quote by theBEAST View Post
1. The problem statement, all variables and given/known data
Given x=y^2, x=1 what is the area of the solid when the area between the two curves is rotated about x=1.

3. The attempt at a solution
I attached my solution and according to the answer key my area formula (pi-pi*y^4) is wrong. Instead they have pi*(1-y^2)^2. Can anyone explain why my area formula is wrong? I thought that it was the area of the upper boundary curve minus the area of the lower boundary curve...
What method are you trying to use? Is it disks? ... or is it shells?


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