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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Definitions:

Retributivist

A philosophical theory of justice that believes in punishment because the offender deserves it, focusing on past crimes rather than future consequences.

Specific Deterrence

A legal principle that aims to prevent an individual from reoffending by imposing sufficiently severe consequences.

Potential Offenders

Individuals who are at risk of committing crimes or violations, often identified through certain behaviors or characteristics.

Control Crime

The actions or strategies implemented to prevent, reduce, or manage criminal activities or behaviors within a society.