A thin-walled cylindrical pressure vessel has a diameter of 1.1 metres and contains gas at a pressure of P. The wall thickness of the vessel is 5.8 mm. A single strain gauge is bonded to the surface of the pressure vessel along the circumferential (hoop) direction in the unloaded state, as shown in the accompanying Figure. The Young's modulus of the steel is 204 GPa and its Poisson's ratio is 0.3. When the cylinder is filled with gas, the magnitude of the strain detected by the gauge is 690 microstrain. What is the internal pressure in the vessel? Enter your answer in units of MPa to two decimal places.

A thin-walled cylindrical pressure vessel has a diameter of 1.1 metres and contains gas at a pressure of P. The wall thickness of the vessel is 5.8 mm. A single strain gauge is bonded to the surface of the pressure vessel along the circumferential (hoop) direction in the unloaded state, as shown in the accompanying Figure. The Young's modulus of the steel is 204 GPa and its Poisson's ratio is 0.3. When the cylinder is filled with gas, the magnitude of the strain detected by the gauge is 690 microstrain. What is the internal pressure in the vessel? Enter your answer in units of MPa to two decimal places.