Using Cylindrical Coordinates, Find Parametric Equations for the Cylinder $x ^ { 2 } + y ^ { 2 } = 16$

Multiple Choice

Using cylindrical coordinates, find parametric equations for the cylinder $x ^ { 2 } + y ^ { 2 } = 16$ Select all that apply.

A) $x = 4 \cos \theta , y = 4 \sin \theta , z = z , 0 \leq \theta \leq 2 \pi , - \infty < z < \infty$
B) $x = 4 \cos \theta , y = 4 \sin \theta , 0 \leq \theta \leq 2 \pi , - \infty < z < \infty$
C) $x = 16 \cos \theta , y = 16 \sin \theta , z = z , \quad 0 \leq \theta \leq 2 \pi , - \infty < z < \infty$
D) $x = 4 \sin \theta , y = 4 \cos \theta , z = z , 0 \leq \theta \leq 2 \pi , - \infty < z < \infty$
E) $x = 16 \cos \theta , y = 16 \sin \theta , 0 \leq \theta \leq 2 \pi , - \infty < z < \infty$