Use a CAS Integration Utility to Evaluate the Triple Integral $F ( x , y , z ) = x ^ { 2 } y ^ { 4 } z ^ { 2 }$

Multiple Choice

Use a CAS integration utility to evaluate the triple integral of the given function over the specified solid region.
- $F ( x , y , z ) = x ^ { 2 } y ^ { 4 } z ^ { 2 }$ over the cylinder bounded by $x ^ { 2 } + y ^ { 2 } \leq 49$ and the planes $z = - 7 , z = 10$

A) $\frac { 7,742,127,743 } { 236 } \pi$
B) $\frac { 7,742,127,743 } { 192 } \pi$
C) $\frac { 7,742,127,743 } { 208 } \pi$
D) $\frac { 158,002,607 } { 4 } \pi$