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A Tank Has the Shape of an Inverted Right Circular 4 m4 \mathrm {~m}

Question 34

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A tank has the shape of an inverted right circular cone with a base radius of 4 m4 \mathrm {~m} and a height of 9 m9 \mathrm {~m} . If the tank is filled to a height of 1 m1 \mathrm {~m} , find the work required (to the nearest joule) to empty the tank by pumping the water over the top of the tank. (The mass of water is 1000 kg/m31000 \mathrm {~kg} / \mathrm { m } ^ { 3 } and the force of gravity is 9.8 m/sec29.8 \mathrm {~m} / \mathrm { sec } ^ { 2 } .)

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