How Can I Simplify Parametrization for the Equation z² = x² + y²?

[smochum1]

Homework Statement

can someone help me how to parametrizise this z^2 = x^2 + y^2

Homework Equations

I am doing Surface integral, i get the rest i just need to know how to parametrisize this in a simplier way

The Attempt at a Solution

x=x y=y z=(x^2 + y^2)^(1/2)

 

[LCKurtz]

Homework Statement

can someone help me how to parametrizise this z^2 = x^2 + y^2

Homework Equations

I am doing Surface integral, i get the rest i just need to know how to parameriize this in a simplier way

The Attempt at a Solution

x=x y=y z=(x^2 + y^2)^(1/2)

You could use cylindrical coordinates $r,\ \theta$ noting z can take two values, or you could try parameterizing it in terms of the spherical coordinates $\rho,\ \theta$ nothing that $\phi$ can take on two different constant values.