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Math Help - Describe region of translated sphere

  1. #1
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    Describe region of translated sphere

    Question:

    Describe the region given by the sphere in spherical coordinates:

    (x-1)^2+(y-1)^2+(z-1)^2=4

    Thoughts:

    1. I know this is a sphere with radius 2 centered at (1,1,1).

    2. I know the region of this sphere already^^^.

    Question:

    How do I describe the region in terms of rho, phi, and theta? I don't mind if you give me the answer, but I want a way to visualize the way rho, phi, and theta change from the unit sphere, so I can figure out similar problems. Thanks!
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  2. #2
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    any help?

    *bump*

    ps: the original thread should have said "i know the region of the unit sphere" not "the region of this sphere already".
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  3. #3
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    x= \rho cos(\theta)sin(\phi)
    y= \rho sin(\theta)sin(\phi)
    z= \rho cos(\theta).

    Replace x, y, and z with those.
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