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3. (4 pts) A conical water tank is 10 meters tall, and has a radius of 5 meters at the top. It is buried 2

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3. (4 pts) A conical water tank is 10 meters tall, and has a radius of 5 meters at the top. It is buried 2 meters underground (as shown below). If the tank is full, how much work (in Joules) is required to pump all the water to ground level? (The acceleration due to gravity is 9.8 m/sec and the density of water is 1000 kg/m3.) You may use your calculator to evaluate the integral. 2 m 5 m 10 / H 10 m

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