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## Homework Statement

Sketch the solid B that lies inside the surface x^2 + y^2 = 1 and is bounded above and below by the surface x^2 + y^2 + z^2= 2^2. Then find the volume of B.

## Homework Equations

projxy = projection onto the xy plane, proj zy = projection on the zy plane

## The Attempt at a Solution

(See attached)

http://img511.imageshack.us/img511/440/chibusq.jpg [Broken]

I just wanted to check whether my definition of the integration is correct, meaning:

1) Is the function of the integration right? (Since the circle on the xy plane is x^2 + y^2 = 1, I've used that)

2) Are the limits correct?

Thanks for any help!

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