The volume of the cylinder is given by the equation
[tex]V=\pi r^2h[/tex]In this problem we have
V=127.23 in3
r=3 in
substitute
[tex]\begin{gathered} 127.23=\pi(3)^2h \\ solve\text{ for h} \\ h=\frac{127.23}{9\pi} \\ \\ h=4.5\text{ in} \end{gathered}[/tex]