We have that the equation to find the volume of a cylinder is:
[tex]V=\pi r^2h[/tex]
in this case, we have the following information:
[tex]\begin{gathered} V=416992in^3 \\ r=40in \\ \pi=3.14 \end{gathered}[/tex]
then, using these values on the formula and solving for h, we get:
[tex]\begin{gathered} 416992=(3.14)(40)^2\cdot h \\ \Rightarrow h=\frac{416992}{3.14(40)^2}=83 \\ h=83in \end{gathered}[/tex]
therefore, the height of the cylinder is 83 inches
