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A Large Tank Is Designed with Ends in the Shape y=x22y = \frac { x ^ { 2 } } { 2 }

question 147

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A large tank is designed with ends in the shape of the region between the curves y=x22y = \frac { x ^ { 2 } } { 2 } and y=15y = 15 , measured in feet. Find the hydrostatic force on one end of the tank if it is filled to a depth of 9ft9 \mathrm { ft } with gasoline. (Assume that the density of the gasoline is 42.0lb/ft342.0 \mathrm { lb } / \mathrm { ft } ^ { 3 } .) Select the correct answer.


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