An Open Tank Has the Shape of a Right Circular $6,739.20 \pi \mathrm { ft } - \mathrm { lb }$

Multiple Choice

An open tank has the shape of a right circular cone. The tank is 9 feet across the top and 8 feet high. How much work is done in emptying the tank by pumping the water over the top Edge? Note: The density of water is 62.4 lbs per cubic foot.

A) $6,739.20 \pi \mathrm { ft } - \mathrm { lb }$
B) $4,043.52 \pi \mathrm { ft } - \mathrm { lb }$
C) $5,391.36 \pi \mathrm { ft } - \mathrm { lb }$
D) $10,108.80 \pi \mathrm { ft } - \mathrm { lb }$
E) $12,130.56 \pi \mathrm { ft } - \mathrm { lb }$