A cylindrical tank, \(4 \mathrm{ft}\) in diameter and \(10 \mathrm{ft}\) long, is completely filled with water and blocked in. Estimate the thermal expansion rate of the water if the water is at \(50^{\circ} \mathrm{F}\) and the steel shell of the tank is suddenly heated to \(100^{\circ} \mathrm{F}\) by the sun. Assume a heat transfer coefficient of \(50 \mathrm{Btu} / \mathrm{hr} \mathrm{ft}^{2} \mathrm{~F}\) and that only the top half of the tank is heated.

If the tank is exposed to fire, what is the required relief area? Assume no overpressure.

The tank MAWP is 200 psig.