# Parametric Representation

1. May 11, 2009

### joemama69

1. The problem statement, all variables and given/known data

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

2. Relevant equations

3. The attempt at a solution

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

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

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

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

2. May 11, 2009

### Defennder

3. May 11, 2009

### joemama69

oops thats a typo, should y be

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