Solve the Problem $26 \mathrm { ft }$ High And $10 \mathrm { ft }$

Multiple Choice

Solve the problem.
-A vertical right circular cylindrical tank measures $26 \mathrm { ft }$ high and $10 \mathrm { ft }$ 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 a level $2 \mathrm { ft }$ above the top of the tank? Give your answer to the nearest $\mathrm { ft } \cdot \mathrm { lb }$ .

A) 3,675,663.41 ft · lb
B) 1,837,831.7 ft · lb
C) 1,592,787.48 ft · lb
D) 1,531,526.42 ft · lb