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Oracle
Karma Points: 8,668
Respect (100%):
Date Posted: 7/24/2008 11:11:08 PM  Status: Live
volume
Course Textbook Chapter Problem
Calculus N/A N/A N/A
Question Details:
Use cylindrical coordinates to find the volume of the solid in the first octant inside of the sphere  x2 + y2 + z2 = 4  and inside the cylinder  x2 + y2 = 2x.
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(Cramster SME)
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Date Posted: 7/25/2008 6:38:43 AM  Status: Live
Asker's Rating: Lifesaver   
Response:
booboo123's Comment:
thank you!

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Sage
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(Melbourne University)
Date Posted: 7/25/2008 8:44:08 AM  Status: Live
Asker's Rating: Helpful   
Response:
this is the volume using polar coordinates
i didn't read the question thats why
x2 + y2 + z2 = 4 .....................................>z2=4-x2 - y2
z2=4-r2

x2 + y2 = 2x. .................................>but x=cosθ
∴r2=rcosθ.......................................>r=cosθ

First octant θ=π/2


∴
∴
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booboo123's Comment:
thx again!!



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