A circular footing is to be constructed below the ground surface, as shown in the figure below. The

groundwater table is located at the ground surface and the subsoil consists of a uniform deposit of

soft, loose soil. The saturated unit weight is $118\frac{\text{\#}}{f}{t}^3,$ the cohesion is $176\frac{\text{\#}}{f}{t}^2$ and the depth of the

footing, $D_f$ is to be $6$ feet. Determine the dimension of the footing $($in feet $-$ to nearest tenth$)$ for a

design load of $16$ kips to be imposed on this footing, and a factor of safety of $2\mathrm{.}0$ is used.