Chapter 14.6, Problem 12E

Parametric descriptions Give a parametric description of the form $r\left(u,v\right)=\langle x\left(u,v\right),y\left(u,v\right),z\left(u,v\right)\rangle$ for the following surfaces. The descriptions are not unique. Specify the required rectangle in the uv-plane.

12.    The cap of the sphere $x^2+y^2+z^2=16,$ for $2\sqrt{2}\le z\le 4$