The newsprint that makes up the paper of newspapers is delivered to printing plants in giant rolls, like the one you see in the photograph. The paper is wound in a spiral in which every loop has exactly the same thickness. The first loop of the spiral starts at a distance of 29.335 centimeters from the center, and the paper has a thickness of 0.0074 centimeters.

How far, in centimeters, is the 1,000th loop of the spiral from the center of the roll? Round your answer to three decimal places.

Question

The newsprint that makes up the paper of newspapers is delivered to printing plants in giant rolls, like the one you see in the photograph. The paper is wound in a spiral in which every loop has exactly the same thickness. The first loop of the spiral starts at a distance of 29.335 centimeters from the center, and the paper has a thickness of 0.0074 centimeters.

How far, in centimeters, is the 1,000th loop of the spiral from the center of the roll? Round your answer to three decimal places.