A cylindrical barrel, standing upright on its circular end, contains muddy water. The

Chapter 8, Problem 25

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A cylindrical barrel, standing upright on its circular end, contains muddy water. The top of the barrel, which has diameter 1 meter, is open. The height of the barrel is 1.8 meter and it is filled to a depth of 1.5 meter. The density of the water at a depth of h meters below the surface is given by (h) = 1+ kh kg/m3, where k is a positive constant. Find the total work done to pump the muddy water to the top rim of the barrel. (You can leave , k, and g in your answer.

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