Solve the Problem $13 \mathrm { ft }$ , with the Center of the Tank

Multiple Choice

Solve the problem.
-A spherical tank of water has a radius of $13 \mathrm { ft }$ , with the center of the tank $50 \mathrm { ft }$ above the ground. How much work will it take to fill the tank by pumping water up from ground level? Assume the water weighs $62.4 \mathrm { lb } / \mathrm { ft } 3$ . Give your answer to the nearest $\mathrm { ft } \cdot \mathrm { lb }$ .

A) 14,356,324 ft · lb
B) 35,890,811 ft · lb
C) 28,712,649 ft · lb
D) 9,139,520 ft · lb