[tex]\textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ V=9847.04\\ r=14 \end{cases}\implies \begin{array}{llll} 9847.04=\pi (14)^2 h\implies \cfrac{9847.04}{\pi (14)^2}=h \\\\\\ 15.99\approx h \end{array}[/tex]