Suppose the number of tons of snow on a mountain is based on the radius (in hundreds of feet) of the base of the mountain and follows the exact pattern shown in the table. How much snow would be on the mountain if the radius of the base of the mountain is \(700\) feet?
\[\begin{array}{|c|c|c|c|c|c|c|}
\hline
\text{Radius (100 ft.)} &{1} &{2} &{3} &{4} &{5} &{6} \\
\hline
\text{Tons} &{2} &{4} &{12} &{48} &{240} &{1,440} \\
\hline
\end{array}\]