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    Question

    The sum of the radius and height of a cylinder is 42m.

    The total surface area of the cylinder is 5544 m². What is the volume of the cylinder?
    A 29106 m³ Correct Answer Incorrect Answer
    B 21940 m³ Correct Answer Incorrect Answer
    C 30220 m³ Correct Answer Incorrect Answer
    D 28660 m³ Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Surface area of the cylinder = 5544 m². ⇒ 2 πr ( r + h ) = 5544 m² ⇒ 2 × 22/7 × r × 42 =  5544 m² ⇒ r =  (5544 × 7 )/(2 × 22 × 42)  = 21 ∴ h = 42 - 21 = 21m ∴Volume of the cylinder  = πr² h = 22/7 × 21 ×21 × 21 = 29106 m³

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