Paraboloidal Tank Problem: A tank is made in the shape of the paraboloid formed by

Chapter 11, Problem 6

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Paraboloidal Tank Problem: A tank is made in the shape of the paraboloid formed by rotating about the y-axis the graph of y = x2 from x = 0 to x = 4 (Figure 11-2f). The tank is filled with benzene, an organic liquid with density 54.8 lb/ft3. Find the work done in pumping a full tank of benzene to a level of 10 ft above the top of the tank. Figure 11-2f

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