[tex]$\begin{matrix}
V=\pi r^2\left(\frac{h}{3}\right)\\\\
108=\pi \left(6\right)^2\left(\frac{h}{3}\right)\\\\
\pi \left(6\right)^2\left(\frac{h}{3}\right)=108\\\\
\pi \left(36\right)\left(\frac{h}{3}\right)=108\\\\
12\pi h=108\\\\
\frac{12\pi h}{12\pi }=\frac{108}{12\pi }\\\\
h=\frac{9}{\pi }\\\\
\mathbf{h\approx 2.86\:units}
\end{matrix}$[/tex]
