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    Question

    A hemisphere of radius 14 cm is placed on a flat surface

    with its curved side touching the surface. A cylinder with the same radius and height of 14 cm is placed on top of the hemisphere. Find the total surface area of the combined solid.
    A 1847 cm² Correct Answer Incorrect Answer
    B 3080 cm² Correct Answer Incorrect Answer
    C 2620 cm² Correct Answer Incorrect Answer
    D 2376 cm² Correct Answer Incorrect Answer

    Solution

    Curved surface area of hemisphere = 2πr² = 2 × (22/7) × 14² = 1232 cm² Curved surface area of cylinder = 2πrh = 2 × (22/7) × 14 × 14 = 1232 cm² Base area of cylinder = πr² = (22/7) × 14² = 616 cm² Total surface area = 1232 + 1232 + 616 = 3080 cm² Correct option: b

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