The corner of a plate selected as the origin is also the axis of rotation about the z-axis as shown in the figure below. The dimensions of the plate are x = 31 cm, y = 12 cm and thickness = 3.0 cm. The plate has a density of 2,575 kg/m3. Two 6 cm diameter holes are drilled through the plate. The location of the center of the first hole is at x1 = 20 cm and y1 = 4.0 cm and location of the center of the second hole is at x2 = 4 cm and y2 = 6.3 cm. What is the mass moment of inertia for the plate? (Enter your answer and round to 4 decimal places of a kg·m2

The corner of a plate selected as the origin is also the axis of rotation about the z-axis as shown in the figure below. The dimensions of the plate are x = 31 cm, y = 12 cm and thickness = 3.0 cm. The plate has a density of 2,575 kg/m3. Two 6 cm diameter holes are drilled through the plate. The location of the center of the first hole is at x1 = 20 cm and y1 = 4.0 cm and location of the center of the second hole is at x2 = 4 cm and y2 = 6.3 cm. What is the mass moment of inertia for the plate? (Enter your answer and round to 4 decimal places of a kg·m2