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    Question

    The radius of the base of a

    cylindrical tank is 5 metres. If eight times the sum of the areas of its two circular faces is four times the area of its curved surface, then find the difference between its radius and its height. {Take┬а╧А┬а = 22/7}
    A 20 m Correct Answer Incorrect Answer
    B 5 m Correct Answer Incorrect Answer
    C 13 m Correct Answer Incorrect Answer
    D 10 m Correct Answer Incorrect Answer

    Solution

    ATQ,

    Area of two circular faces = 2╧Аr2 Curved surface area (CSA) = 2╧Аrh Equation = 8├Ч(2╧Аr2) = 4├Ч(2╧Аrh)

    Simplify: 16╧Аr2 = 8╧Аrh тЯ╣ 2r = h Substitute r = 5: h = 2r = 2├Ч5 = 10metres Find the difference = h тИТ r = 10 тИТ 5 = 5metres

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