There is a sphere x²+y²+z²=4. I want to parametrize the upper portion contained within the cylinder, x²+y²=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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- Jul 11th 2010, 06:28 PMthepongofpingSurface Parametrization
There is a sphere x²+y²+z²=4. I want to parametrize the upper portion contained within the cylinder, x²+y²=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

- Jul 12th 2010, 02:11 AMChris L T521