Find the Volume of the Indicated Region $x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 81$

Multiple Choice

Find the volume of the indicated region.
-the region that lies inside the sphere $x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 81$ and outside the cylinder $x ^ { 2 } + y ^ { 2 } = 25$

A) $\frac { 5 \left( 729 - 56 ^ { 3 / 2 } \right) \pi } { 2 }$
B) $\frac { 3 \left( 729 - 56 ^ { 3 / 2 } \right) \pi } { 2 }$
C) $\frac { 2 \left( 729 - 56 ^ { 3 / 2 } \right) \pi } { 3 }$
D) $\frac { 4 \left( 729 - 56 ^ { 3 / 2 } \right) \pi } { 3 }$