# Math Help - Parametric representation for the surface

1. ## Parametric representation for the surface

Find a parametric representation for the surface. Parametrize with respect to y and θ. (To enter θ, type theta.)
The part of the cylinder $x^2 + z^2 = 1$ that lies between the planes y = -1 and y = 3
x = sin(θ)
y =
z =
$where\ 0 \leq theta \leq \pi$

2. Originally Posted by purplerain
Find a parametric representation for the surface. Parametrize with respect to y and θ. (To enter θ, type theta.)
The part of the cylinder $x^2 + z^2 = 1$ that lies between the planes y = -1 and y = 3
x = sin(θ)
y = y
z = cos(θ)
${\color{red}-1\leq y\leq3}$
$where\ 0 \leq \theta \leq \pi$
These are the standard cylindrical coordinates.

3. Originally Posted by redsoxfan325
These are the standard cylindrical coordinates.
This is correct, but a brief explanation would be appreciated, or a helpful link.

4. Check out the Wolfram page.