Solve the Problem $x ^ { 2 } + z ^ { 2 } = 64$

Multiple Choice

Solve the problem.
-The shape and density of a thin shell are indicated below. Find the coordinates of the center of mass. Shell: cylinder $x ^ { 2 } + z ^ { 2 } = 64$ bounded by $y = 0$ and $y = 6$
Density: constant

A) $\left( 0,3 , \frac { 16 } { \pi } \right)$
B) $( 0,3,8 )$
C) $\left( 0,0 , \frac { 16 } { \pi } \right)$
D) $( 0,3,16 )$