Find the Center of Mass of a Thin Plate of Constant

Multiple Choice

Find the center of mass of a thin plate of constant density covering the given region.
-The region bounded by $y = x ^ { 2 }$ and $y = 3$

A) $\bar { x } = 0 , \bar { y } = \frac { 27 } { 5 }$
B) $\bar { x } = 0 , \bar { y } = 5$
C) $\bar { x } = 0 , \bar { y } = \frac { 18 } { 5 }$
D) $\bar { x } = 0 , \bar { y } = \frac { 9 } { 5 }$