Use Cylindrical Coordinates to Find the Volume of the Solid $x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 256$

Multiple Choice

Use cylindrical coordinates to find the volume of the solid inside both
$x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 256$ and $( x - 8 ) ^ { 2 } + y ^ { 2 } = 64$ .

A) $\frac { 8,192 } { 9 } ( 6 \pi - 7 )$
B) $\frac { 8,192 } { 9 } ( 3 \pi - 4 )$
C) $\frac { 8,192 } { 5 } ( 6 \pi - 7 )$
D) $\frac { 8,192 } { 9 } ( 3 \pi + 4 )$
E) $\frac { 8,192 } { 5 } ( 6 \pi + 7 )$