Question $4$

A spherical storage tank contains high pressure methane $($molecular mass $16\mathrm{.}04\frac{g}{m}ol).$ The tank is constructed out of a material with a design tensile strength of $53$MPa and a wall thickness of $9cm,$ and has a diameter of $14$ meters. The entire container is maintained at $-3$ degrees Celsius. How many metric tons of methane can be safely stored in this tank? $($Recall that a metric ton is equal to $1000kg$ or $1Mg$ and assume ideal gas$).$