Let V Be the Volume of the Solid That Lies $y = - 4 \sqrt { 1 - x ^ { 2 } }$

Multiple Choice

Let V be the volume of the solid that lies between planes perpendicular to the x-axis from x = -1 to x = 1. The cross-sections of this solid perpendicular to the x-axis run from $y = - 4 \sqrt { 1 - x ^ { 2 } }$ to $y = 4 \sqrt { 1 - x ^ { 2 } }$ and they are squares with bases in the xy-plane. Then V is

A) $\frac { 25 } { 3 }$
B) $\frac { 274 } { 5 }$
C) $\frac { 256 } { 3 }$
D) $\frac { 7 } { 3 }$
E) 42