Parametric Representation for Sphere Between Planes z = 1 & z = -1?

[joemama69]

Homework Statement

Determine a parametric representation for the part of the sphere x² + y² + z² = 4 that lies between the planes z = 1 & z = -1.

Homework Equations

The Attempt at a Solution

We never learned spherical coordinates in class so I am not sure if I am using this correctly.

radius = 2,

x = 2sin($$\phi$$)cos($$\theta$$)

y = 2cos($$\phi$$)sin($$\theta$$)

z = 2cos($$\phi$$) where -1 $$\leq$$ z $$\leq$$ 1

 

[Defennder]

Don't think that's correct. The parametric equation for y appears to be incorrect. This may help:
http://tutorial.math.lamar.edu/Classes/CalcIII/ParametricSurfaces.aspx

 

[joemama69]

oops that's a typo, should y be


y = 2sin$$\phi$$sin$$\theta$$