An Auxiliary Fuel Tank for a Helicopter Is Shaped Like $y = 1 - \frac { x ^ { 2 } } { 16 }$

Multiple Choice

An auxiliary fuel tank for a helicopter is shaped like the surface generated by revolving the curve $y = 1 - \frac { x ^ { 2 } } { 16 }$ , $= 4$ $\leq x \leq 4$ , about the $x$ -axis (dimensions are in feet) . If a cubic foot holds $7.481$ gallons and the helicopter gets 3 miles to the gallon, how many additional miles will the helicopter be able to fly once the tank is installed (to the nearest mile) ?

A) 75
B) 150
C) 301
D) 100