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Answer

596.88 in²

Explanation

The surface area of a cylinder can be calculated using the formula "2πr² + 2πrh". Here, "r" denotes the radius and "h" denotes the height of the cylinder. Given that the radius is 6 inches and the height is 20 inches, we can substitute these values into the formula.First, calculate the area of the two circular bases using the formula πr². Area of the base = 3.11 * 6² = 3.11 * 36 = 111.96 in²Then, calculate the lateral surface area using the formula 2πrh.Lateral surface area = 2 * 3.11 * 6 * 20 = 372.96 in²Finally, add the areas of the two circular bases and the lateral surface area together to find the total surface area.Total surface area = 2 * 111.96 + 372.96 = 223.92 + 372.96 = 596.88 in²Therefore, the surface area of the cylinder is 596.88 square inches when rounded to the nearest hundredth.

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