Find the volume generated by revolving the area
bounded by $\displaystyle {y}=\frac{{1}}{{{x}^{{3}}+{16}{x}^{{2}}+{63}{x}}},{x}={2},{x}={4},$  and $\displaystyle {y}={0}$ about the $\displaystyle {y}$-axis .
(Round the answer to four decimal places.)