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6. An open tank has the shape of a right circular cone. The tank is 8 meters across the top and 6 meters high. Water is pumped in through the bottom of the tank. How much work is done to fill the tank to a depth of 1 meter? Give your answer in exact value. Use 9.8 m/s2 for g and use 1000 kg/m3 as the density of water.)