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these are 2 work problems 3. Work: How much work would be required to pump all of the water out of a rectangular tank with

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these are 2 work problems

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3. Work: How much work would be required to pump all of the water out of a rectangular tank with base dimensions 6 m by 3 m and height 5 m, pumping the water to a height 3 m above the top of the tank? 4. Work: Consider a water tank in the shape of the frustrum of a cone. (Think of it as a cone, with the top chopped off, and flipped over.) The radius of the base on the ground is 3 ft, and the radius of the top is 6 ft. The tank itself is 8 ft tall. Suppose it is full of water. A spout is connected directly to the top of the tank. Find the work required to pump the water out of the spout. (Hint: Consider the solid as a solid of revolution. Use the point-slope form of a line.)

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