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    Question

    If the curved surface area of a cylinder is 126π cm2

    and its height is 14 cm, what is the volume of the cylinder?
    A 283(1/2) π cm³ Correct Answer Incorrect Answer
    B 137(1/2) π cm³ Correct Answer Incorrect Answer
    C 128 (1/2) π cm³ Correct Answer Incorrect Answer
    D 128 (1/2) π cm³ Correct Answer Incorrect Answer

    Solution

    ATQ, curved surface area if a cylinder is 2πrh where r is the radius and h is the height of the cylinder. here h=14 cm again , 2πrh=126 π = 2 × r × 14=126 = r =(126/14) × 2 = 9/2 = r = 9/2 volume of the cylinder πr2h π × (9/2)2 × 14 = π × (81/4) × 14 = = (567/2)π  = 283(1/2) π cm³

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