A $300$ kips column load is supported on a square footing located $3$ ft below the ground surface.

The underlying soil has cohesion of $500l\frac{b}{f}{t}^2,$ friction angle of $0,$ and a unit weight of $120l\frac{b}{t}{t}^3.$

The ground water table is at a depth of $10$ ft $.$ Using Terzaghi's method, determine the minimum

required footing diameter to maintain a factor of safety of $3$ against a bearing capacity failure?