(Solved): Find a parametric representation for the surface. the part of the sphere \( x^{2}+y^{2}+z^{2}=16 \ ...

Find a parametric representation for the surface. the part of the sphere \( x^{2}+y^{2}+z^{2}=16 \) that lies between the planes \( z=0 \) and \( z=2 \sqrt{3} \). (Enter your answer as a comma-separated list of equations. Let \( x, y \), and \( z \) be in terms of \( u \) and/or \( v \).) where \( 0 \leq u \leq 2 \pi, \frac{\pi}{6} \leq v \leq \frac{\pi}{2} \)