Solve the Problem $y = 1 - \frac { x ^ { 2 } } { 16 } , - 4$

Multiple Choice

Solve the problem.
-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) . How many cubic feet of fuel will the tank hold to the nearest cubic foot?

A) 17
B) 4
C) 13
D) 7