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
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