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    Question

    Curved surface area of cylinder is 215.6 cm2.

    If ratio of radius to height of the cylinder is 10:4 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 ‘10x’ cm and ‘4x’ cm respectively. So, 2 × (22/7) × 10x × 4x = 215.6 Or, x2 = 0.49   Or, x = 0.7 Radius of cylinder = 10 × 0.7 = 7 cm Desired area = 22/7 × 7 × 7 = 154 cm²  

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