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    Question

    Curved surface area of cylinder is 1617 cm2.

    If ratio of radius to height of the cylinder is 25:21 respectively, then find the base area of the cylinder. 
    A 962.5 cm² Correct Answer Incorrect Answer
    B 498.96 cm² Correct Answer Incorrect Answer
    C 445.06 cm² Correct Answer Incorrect Answer
    D 154 cm² Correct Answer Incorrect Answer

    Solution

    Let radius and height of the cylinder is ‘25x’ cm and ‘21x’ cm respectively. So, 2 × (22/7) × 25x × 21x = 1617 Or, x2 = 0.49   Or, x = 0.7 Radius of cylinder = 25 × 0.7 = 17.5 cm Desired area = 22/7 × 17.5 × 17.5 = 962.5 cm²  

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