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1) A tank in the shape of an inverted right circular cone has height 10 meters a

ID: 3372527 • Letter: 1

Question

1)  A tank in the shape of an inverted right circular cone has height 10 meters and radius 19 meters. It is filled with 6 meters of hot chocolate. Find the work required to empty the tank by pumping the hot chocolate over the top of the tank. Note: the density of hot chocolate is 1490 kg/m^3 and we are using weight-density.




2)  A circular swimming pool has a diameter of 14m, the sides are 3m high, and the depth of the water is 2.5m. (The acceleration due to gravity is 9.8 m/s^2 and the density of water is 1000 kg/m^3.)


How much work (in Joules) is required to:

a) pump all of the water over the side?


b) pump all of the water out of an outlet 3m over the side?

Explanation / Answer

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