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# Triple Intgegral watch

1. Find the volume bounded by the paraboloid x^2 + y^2 = 4z, the cylinder x^2 + y^2 = 8y and the plane y = 0. (Answer 96pi).

I don't understand how to get the limit for theta, it is pi,0 but I just can't understand why.

How does the plane y=0 result in the value of theta being between 0,pi in the x-y plane?

Thanks
2. (Original post by CHEN20041)
Find the volume bounded by the paraboloid x^2 + y^2 = 4z, the cylinder x^2 + y^2 = 8y and the plane y = 0. (Answer 96pi).

I don't understand how to get the limit for theta, it is pi,0 but I just can't understand why.

How does the plane y=0 result in the value of theta being between 0,pi in the x-y plane?

Thanks
measures out a disk parallel plane. The plane cuts this disk in half. Thus 's domain halves.
3. (Original post by RDKGames)
measures out a disk parallel plane. The plane cuts this disk in half. Thus 's domain halves.
Will the same apply if instead of the plane y=0 it was the plane x=0? I'm thinking yeah?
4. (Original post by CHEN20041)
Will the same apply if instead of the plane y=0 it was the plane x=0? I'm thinking yeah?
Yes.

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