Solve the Problem $16 \mathrm { ft }$ , and the Radius of Its Top Is

question 18

Multiple Choice

Solve the problem.
-A conical tank is resting on its apex. The height of the tank is $16 \mathrm { ft }$ , and the radius of its top is $4 \mathrm { ft }$ . The tank is full of gasoline weighing $45 \mathrm { lb } / \mathrm { ft } ^ { 3 }$ . How much work will it take to pump the gasoline to a level $16 \mathrm { ft }$ above the cone's top? Give your answer to the nearest $\mathrm { ft }$ ' $\mathrm { lb }$ .

• A) 96,510 ft · lb
• B) 241,274 ft · lb
• C) 450,379 ft · lb
• D) 48,255 ft · lb

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