Solve the Problem $8 \mathrm { ft }$ , and the Radius of Its Top Is

question 242

Multiple Choice

Solve the problem.
-A conical tank is resting on its apex. The height of the tank is $8 \mathrm { ft }$ , and the radius of its top is $7 \mathrm { ft }$ . The tank is full of gasoline weighing $45 \mathrm { lb } / \mathrm { ft } ^ { 3 }$ . How much work will it take to pump the gasoline to the top? Give your answer to the nearest $\mathrm { ft } \cdot \mathrm { lb }$ .

• A) 63,027 ft · lb
• B) 42,223 ft · lb
• C) 36,945 ft · lb
• D) 9236 ft · lb

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Definitions:

Externality

A consequence of an industrial or commercial activity that affects other parties without this being reflected in market prices.

Uncompensated Impact

Uncompensated impact refers to effects borne by parties who are not directly involved in a transaction or activity and are not compensated for their losses.

Well-Being

The state of being comfortable, healthy, or happy, often considered in a broad perspective including physical, psychological, and social aspects.

Externalities

Externalities are effects of a transaction that are experienced by someone who is not directly involved in the transaction, either positively (positive externalities) or negatively (negative externalities).