A composite solid consists of a rectangular block of lightweight concrete and a triangular wedge of steel with dimensions as shown. The rectangular block has a 2 ft radius circular hole drilled through its full depth, perpendicular to the front and back faces. Assume densities Yc = 125 lb/ft, and ys = 493 lb/ft. Note carefully the coordinate system shown. Using this coordinate system determine the location of the Z-centroid and enter your answer in units of ft. Remember to show all your work, including the strategy used, equations and calculations on your handworked file to receive full credit. 6 ft H 9 ft Lightweight Concrete 125 lb/ft 4 ft 2 ft 3 ft 3 ft Steel 493 lb/ft\ 4 ft.