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From the 25 cm diameter water main, where the gauge pressure is kept at 4.010 5 Pa, the water needs to travel through: 10 m of copper piping inside the house; inner diameter 2.0 cm and roughness 1.010 -6 m. an open faucet, which can be treated as an open globe valve 50 m of rubber hosing with a 2.0 cm inner diameter and negligible roughness; additional friction due to bends in the garden hose can be neglected. nozzle at the end of the garden hose with diameter 0.5 cm. Changes in elevation can be neglected. Assume water has a viscosity of 0.001 Pas and density of 1000 kg/m 3 . For ease of calculation you may use gravitational acceleration of 10 m/s 2 and atmospheric pressure of 105 Pa. A. How long will it take to fill up the pool, if its volume is 40 m 3 ? B. Calculate the pressure at the inlet of the garden hose (after the faucet).