The volume $V$ of a cylinder is given by the formula $V=\pi r^{2}h$, where $r$ is the radius and $h$ is the height. If a particular cylinder has a fixed radius of $r=4$ units, and the formula is rewritten to express the height in terms of the volume, in the form $h=kV$, where $k$ is a constant, what is the value of $k$?