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    Question

    Determine the height of a right circular cylinder given

    that the area of its base is 346.5 cm², and the area of its curved surface is 990 cm². Use [π = (22/7)] for calculations.
    A 20 cm Correct Answer Incorrect Answer
    B 15 cm Correct Answer Incorrect Answer
    C 15 cm Correct Answer Incorrect Answer
    D 16 cm Correct Answer Incorrect Answer

    Solution

    Let radius of the base of the cylinder = ‘r’ cm Area of the base of a cylinder = π × r2 So, (22/7) × r2 = 346.5 Or, r2 = 110.25 Or, r = 10.5 (Since, radius cannot be negative therefore we will take the positive root only) Let height of the cylinder = ‘h’ cm Now, the curved surface area cylinder = 2πrh So, 2 × (22/7) × 10.5 × h = 990 Or, h = (990/66) = 15 So, height of the cylinder = 15 cm

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