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(Solved): A full water tank in the shape of a hemispherical bowl of radius 8m. How much work is required to ...



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A full water tank in the shape of a hemispherical bowl of radius . How much work is required to pump all the water to a height of above the tank? (The density of water is ). (Use symbolic notation and fractions where needed.)


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Calculate the volume of water in the tank, which is the same as the volume of the hemispherical bowl:
  
where r is the radius of the bowl.
Substituting  in
  


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