Find the Center of Mass of the Lamina Bounded by the Graphs

Multiple Choice

Find the center of mass of the lamina bounded by the graphs of the equations $x = 64 - y ^ { 2 }$ and $x = 0$ for the density $\rho = k x$

A) $\left( \frac { 128 } { 7 } , 0 \right)$
B) $\left( 0 , \frac { 128 } { 7 } \right)$
C) $\left( \frac { 32 } { 7 } , 0 \right)$
D) $\left( 0 , \frac { 256 } { 7 } \right)$
E) $\left( \frac { 256 } { 7 } , 0 \right)$