A garden hose with the water valve shut and the nozzle closed sits in the sun, full of liquid water. Initially, the water is at 10°C and 6 bar. After some time the temperature of the water rises to 40°C. Owing to the increase in temperature and pressure and the elasticity of the hose, the internal diameter of the hose increases by 0.35%. Estimate the final pressure of the water in the hose. 

Data: β(ave) = 250 × 10⁻⁶ K⁻¹; κ(ave) = 45 × 10⁻⁶ bar⁻¹