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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 cm┬▓ Correct Answer Incorrect Answer
    B 3080 cm┬▓ Correct Answer Incorrect Answer
    C 2620 cm┬▓ Correct Answer Incorrect Answer
    D 2376 cm┬▓ Correct Answer Incorrect Answer

    Solution

    Curved surface area of hemisphere = 2╧Аr┬▓ = 2 ├Ч (22/7) ├Ч 14┬▓ = 1232 cm┬▓ Curved surface area of cylinder = 2╧Аrh = 2 ├Ч (22/7) ├Ч 14 ├Ч 14 = 1232 cm┬▓ Base area of cylinder = ╧Аr┬▓ = (22/7) ├Ч 14┬▓ = 616 cm┬▓ Total surface area = 1232 + 1232 + 616 = 3080 cm┬▓ Correct option: b

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