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Help! I'm trying to decide where to use as the origin: the standard origin, or (0,0,1) - and how to sweep theta and phi. Find

Help! I'm trying to decide where to use as the origin: the standard origin, or (0,0,1) - and how to sweep theta and phi.

Find the volume of the solid E outside the sphere x^2+y^2+z^2 = 1 and inside the sphere x^2+y^2+(z-1)^2=1 [Hint: Use spherical coordinates].

Thanks!

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