The Volume of the Solid Cut Out Of $z ^ { 2 } + r ^ { 2 } = 4$

Multiple Choice

The volume of the solid cut out of $z ^ { 2 } + r ^ { 2 } = 4$ by r = 1 is

A) $\frac { 4 \pi ( 8 + 3 \sqrt { 3 } ) } { 3 }$
B) $\frac { 4 \pi ( 8 - 3 \sqrt { 3 } ) } { 3 }$
C) $\frac { 2 \pi ( 8 - 3 \sqrt { 3 } ) } { 3 }$
D) $\frac { 2 \pi ( 8 + 3 \sqrt { 3 } ) } { 3 }$
E) $\frac { 4 \pi ( 8 - 3 \sqrt { 3 } ) } { 5 }$