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Math Help - Surface Parametrization

  1. #1
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    Surface Parametrization

    There is a sphere x+y+z=4. I want to parametrize the upper portion contained within the cylinder, x+y=2y.

    Here's my attempt at a parametrization... Would appreciate any feedback

    f(r,θ)=(r Cos θ, r Sin θ, √(4-2r Sin θ))

    0<=θ<=pi
    0<=r<=2

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  2. #2
    Rhymes with Orange Chris L T521's Avatar
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    Quote Originally Posted by thepongofping View Post
    There is a sphere x+y+z=4. I want to parametrize the upper portion contained within the cylinder, x+y=2y.

    Here's my attempt at a parametrization... Would appreciate any feedback

    f(r,θ)=(r Cos θ, r Sin θ, √(4-2r Sin θ))

    0<=θ<=pi
    0<=r<=2

    That looks great to me!
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