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

question 147

Multiple Choice

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

• A) \(5,785 \mathrm { lb }\)
• B) \(4,850 \mathrm { lb }\)
• C) \(6,918 \mathrm { lb }\)
• D) \(2,683 \mathrm { lb }\)
• E) \(7,698 \mathrm { lb }\)
• F) \(3,855 \mathrm { lb }\)

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