A $90-$ ft diameter cylindrical tank is located $7$ ft $.$ below the ground surface on a $90$ ft $.$ diameter concrete foundation. The thickness of the concrete slab is $3$ ft $.$ Unit weight of concrete is $150$ lb $./$ft$.{?}^3.$ The tank is to be filled with molasses with a specific gravity value of $1\mathrm{.}4.$ The soil below is a clay with $c_u=1000lb\frac{.}{f}{t}^2,=10.$ The empty tank weighs $1,500,000lbs.$ Using Meyerhof's general bearing capacity equation compute the maximum height of molasses permitted in the tank that will maintain a factor of safety of $3\mathrm{.}0$ against a bearing capacity failure. Density of the soil is $=120lb\frac{.}{f}{t}^3{?}^3$