Final answer:
To find the x-coordinate and y-coordinate of the centroid of the shaded area represented by a cylinder, you need to calculate the average of the x-coordinates and y-coordinates of all the points within the shaded region.
Step-by-step explanation:
The centroid of a shaded area can be found by calculating the average of the x-coordinates and y-coordinates of all the points within the shaded region. In this case, we need to find the x-coordinate and y-coordinate of the centroid of the shaded area represented by a cylinder.
To find the x-coordinate of the centroid, we divide the sum of the x-coordinates of all points within the shaded area by the total number of points. Similarly, to find the y-coordinate, we divide the sum of the y-coordinates by the total number of points.
For the given values of a, b, and c, you can substitute them into the centroid formula to find the x-coordinate and y-coordinate of the centroid. The origin of the coordinate system is at the center of the cylinder.