The volume of a cone is computed as follows:
[tex]V\text{ = }\pi\cdot r^2\cdot\frac{h}{3}[/tex]where r is the radius and h is the height
Replacing with data and solving for r:
[tex]\begin{gathered} 1600\text{ = }\pi\cdot r^2\cdot\frac{18}{3} \\ \frac{1600}{\pi\cdot6}=r^2 \\ \sqrt{84.882}\text{ = r} \\ 9.213\text{ in = r} \end{gathered}[/tex]