An Auxiliary Fuel Tank for a Helicopter Is Shaped Like $y = 1 - \frac { x ^ { 2 } } { 4 } , - 2$

Multiple Choice

An auxiliary fuel tank for a helicopter is shaped like the surface generated by revolving the curve $y = 1 - \frac { x ^ { 2 } } { 4 } , - 2$ $\leq x \leq 2$ , about the $x$ -axis (dimensions are in feet) . How many cubic feet of fuel will the tank hold to the nearest cubic foot?

A) 2
B) 8
C) 7
D) 3