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Theme park has a ride that is located in a cylinder with a height of 10 yards. The ride goes around the outside of the​ cylinder, which has a circumference of 511.78yards. What is the surface area of the​ cylinder? Estimate to the nearest​ hundredth, using 3.14 for π. Apply the formula for surface area of a cylinder SA=2B+Ph.

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Answer: 11,664.70

Step-by-step explanation:Rounding to the nearest hundredth, the surface area of the cylinder is approximately 11,664.70 square yards.How to find the surface area?The surface area of a cylinder can be found using the formula:where r is the radius of the base of the cylinder, h is the height of the cylinder, and is approximately 3.14.Since the ride goes around the outside of the cylinder, its circumference is equal to 2r. We are given that the circumference of the cylinder is 514.92 yards, so we can solve for the radius: = 514.92r = 514.92 / (2) ≈ 82.01Therefore, the radius of the cylinder is approximately 82.01 yards.Now we can use the formula for surface area:SA = SA = SA ≈ 11,664.70Rounding to the nearest hundredth, the surface area of the cylinder is approximately 11,664.70 square yards.

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