Water is stored in a cylindrical tank with radius R=2m as shown in the diagram below. The surface of the water is 8 m above the bottom of the tank, and water is flowing out of the tank through an open hole on one side and a horizontal pipe on the other. The density of water is 1000 kg/m. You may assume no viscous forces for all parts of this problem, and as always you may use the approximation a= 3, and latm = 10° Pa = 10ʻ N/m?. a) What is the pressure at the bottom of the tank? Clearly state whether you are using gauge or absolute pressure, and use the same convention throughout the problem (or indicate clearly if you change). b) There is a hole on the left side of the tank with area 0.003 m² that is 3 m from the bottom of the tank. What is the speed of water rushing out of this hole? c) A pipe with uniform cross-sectional area of 0.003 m2 is drawing water from a second hole on the right side of the tank that is also 3 m from the bottom. The water in the pipe is moving at a speed of 6 m/s. What is the pressure in this pipe?