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

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