Using Cylindrical Coordinates, the Volume of the Solid Enclosed By x

Multiple Choice

Using cylindrical coordinates, the volume of the solid enclosed by $x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 4 , x \geq 0$ and $( x - 1 ) ^ { 2 } + y ^ { 2 } = 1$ is

A) $\frac { 16 ( 3 \pi - 4 ) } { 9 }$
B) $\frac { 16 ( 3 \pi - 4 ) } { 7 }$
C) $\frac { 16 ( 3 \pi - 4 ) } { 5 }$
D) $\frac { 16 ( 3 \pi - 4 ) } { 3 }$
E) $\frac { 16 ( 3 \pi - 4 ) } { 11 }$