A full water tank in the shape of an inverted right circular cone is 8 m across the top and 4 m high. If the surface of the water in the tank is 2 m below the top of the tank, how much work is required to pump all the water over the top of the tank? (The density of water is 1000 kg/mg, use acceleration due to gravity 3 = 9.8 N/kg.) (Use symbolic notation and fractions where needed.) A trough whose cross section is a semicircle of radius r = 4 m is filled with water. What is the force due to water pressure on one end of the trough? Use the acceleration due to gravity g = 9.8 m/s2. (Use decimal notation. Give your answer to the nearest whole number. Express your answer in kN (recall that 1 kN = 1000 N.)) F ~ KNA trough whose cross section is a trapezoid is b = 8 m across at the bottom, a = 12 m across at the top, and 4 m deep. If the trough is lled to l m with water, what is the force due to water pressure on one end of the trough? (Hint: Using SI units, pg 2 9800 N/m3.) (Use decimal notation. Give your answer to two decimal places.) A swimming pool is in the shape of a rectangular parallelepiped (prism) (1 ft long. b ft wide. and 0 it deep. If the pool is full of water. what is the force due to water pressure on one long side of the pool\"? Assume a = 46 it. b = 24- ft. 6 = 2 ft. (Him: The weight density of water is 62.5 lb/ft'i.) (Use decimal notation. Give an exact answer.) F 2 lbs