Find the Volume of the Indicated Region $x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 100$

Multiple Choice

Find the volume of the indicated region.
-the region enclosed by the sphere $x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 100$ and the cylinder $( x - 5 ) ^ { 2 } + y ^ { 2 } = 25$

A) $\frac { 2000 } { 9 } ( 3 \pi - 4 )$
B) $\frac { 500 } { 3 } ( 3 \pi - 4 )$
C) $\frac { 2000 } { 3 } ( 3 \pi - 4 )$
D) $\frac { 625 } { 3 } ( 3 \pi - 4 )$