Question: 2: Hydrostatics and the Buoyancy Force [18 marks] A plug in the shape of the frustum of a cone (i.e., the part of a truncated

2: Hydrostatics and the Buoyancy Force [18 marks] A plug in the shape of the frustum of a cone (i.e., the part of a truncated cone which includes the base) seals a 32 cm diameter circular hole at the bottom of a tank holding fresh water. The top diameter of the plug is 56 cm, and the top surface of the plug is 15 cm above the base of the tank. The horizontal distance between the outer edge of the top surface of the plug and the circle of contact between the plug and the tank is 12 cm. The depth of water in the tank is h = 0.5 m. The overall thickness of the plug is 20 cm and the pressure below the plug, external to the tank, is atmospheric pressure. See Figure 1. Figure 1. Plug sealing a circular hole in the bottom of a tank holding water. Complete the following: (a) In no more than two sentences, clearly explain why the buoyancy force arises [2 marks] (b) Determine the resultant force acting on the plug due only to the water [9 marks] (c) What depth of water in the tank (h) will result in no

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