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## Homework Statement

Determine a parametric representation for the part of the sphere x

^{2}+ y

^{2}+ z

^{2}= 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 im not sure if im using this correctly.

radius = 2,

x = 2sin([tex]\phi[/tex])cos([tex]\theta[/tex])

y = 2cos([tex]\phi[/tex])sin([tex]\theta[/tex])

z = 2cos([tex]\phi[/tex]) where -1 [tex]\leq[/tex] z [tex]\leq[/tex] 1