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The three-dimensional shape at right is called a cylinder. Its bottom and top bases are same-sized circles, and its “side” is perpendicular to the bases. What would the shape of a flag need to be in order to generate a cylinder when it spins about its pole? (You may want to refer to problem 3-3 to review how flags work.)

The flag would have to be a rectangle. The height of the cylinder would be the same as the height of the rectangle, and the cylinder's radius would be the same as the width of the rectangle.