Solve the Problem $20 \mathrm { ft }$ High And $12 \mathrm { ft }$

Multiple Choice

Solve the problem.
-A vertical right circular cylindrical tank measures $20 \mathrm { ft }$ high and $12 \mathrm { ft }$ in diameter. It is full of oil weighing $60 \mathrm { lb } / \mathrm { ft } ^ { 3 }$ . How much work does it take to pump the oil to the level of the top of the tank? Give your answer to the nearest $\mathrm { ft } \cdot \mathrm { lb }$ .

A) 22,619 ft · lb
B) 5,428,672 ft · lb
C) 2,714,336 ft · lb
D) 1,357,168 ft · lb