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    Question

    If the diameter of the base and curved surfaced area of

    a cylinder are 14cm and 352 cm² , respectively, then the total surface area of the cylinder is equal to: 
    A 660 cm² Correct Answer Incorrect Answer
    B 760 cm² Correct Answer Incorrect Answer
    C 754 cm² Correct Answer Incorrect Answer
    D 654 cm² Correct Answer Incorrect Answer

    Solution

    1. Calculate the radius: Radius, r = 14 / 2 ⇒ r = 7 cm 2. Use CSA to find the height (h) of the cylinder: CSA = 2πrh ⇒ 352 = 2 × 22/7 × 7 × h ⇒ 352 = 44h ⇒ h = 352 / 44 ⇒ h = 8 cm 3. Calculate the Total Surface Area (TSA): TSA = 2πr(r + h) ⇒ TSA = 2 × 22/7 × 7 × (7 + 8) ⇒ TSA = 2 × 22/7 × 7 × 15 ⇒ TSA = 2 × 22 × 15 ⇒ TSA = 660 cm2 The total surface area of the cylinder is 660 cm2.

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