Evaluate $\displaystyle \int\int\int_{{E}}{e}^{{z}}\ {d}{V}$ where $\displaystyle {E}$ is enclosed by the paraboloid $\displaystyle {z}={3}+{x}^{{2}}+{y}^{{2}}$, the cylinder $\displaystyle {x}^{{2}}+{y}^{{2}}={1}$, and the $\displaystyle {x}{y}$ plane.