A power-generating windmill is being designed and will consist of a tower with three large blades that rotate on a central hub at the top of the tower. The height of the tower from the ground to the center of the hub where the 3 blades meet is 262 feet, and the length of the blades from the center of the hub to the tip of each blade is 148 feet. The tower is in the shape of a right circular cylinder that has a diameter of 40 feet, as shown in the figure.
As the blades rotate they span an area and displace the air in that area. In ‡ of a full rotation of one of the blades, which of the following is closest to the area, in square feet, that the blade
spans?