While taking a shower, you notice that the shower head is made up of 36 small round openings, each with a radius of 1.4 mm. you also determine that it takes 7.0 s for the shower to completely fill a l- liter container you hold in the water stream. the water in your house is pumped by a pump in the basement, 6.2 m below the level of the shower head. the pump maintains an absolute pressure of 1.6 atmospheres. neglect viscosity. use g = 9.8 m/s/s, and 1 atmosphere = 101,300 pa. [1 point] (a) what is the total area of the openings in the shower head? [2 points) (b) at what speed is the water emerging from the holes? [2 points] (c) at what speed is the water flowing through the pipe connected to the pump (assume it has a constant cross-sectional area)? [2 points] (d) what is the radius of the pipe? [1 point) (e) if you covered up six of the holes in the shower head with your thumb, with what speed would you expect the water to emerge from the remaining holes?