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    Question

    A cylindrical tank has a height of 12 m and a base

    radius of 5 m. If water is filled up to 8 m in the tank, what is the total surface area of the water's surface, including the curved surface area?
    A 145π m² Correct Answer Incorrect Answer
    B 170π m² Correct Answer Incorrect Answer
    C 125π m² Correct Answer Incorrect Answer
    D 110π m² Correct Answer Incorrect Answer

    Solution

    Curved surface area of the cylinder = 2πrh Where r = 5 m and h = 12 m: Curved surface area = 2π * 5 * 12 = 120π m². Area of the circular base = π * r² = π * (5²) = 25π m². Total surface area = Curved surface area + Base area = 120π + 25π = 145π m². Correct option: a) 145π m²

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