# Parametric Representation

## 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.

## 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

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