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    Question

    The volume of a right circular cylinder is given as

    64π√3 cm³. The radius of the cylinder's base is 4 cm. Determine the slant height of the cylinder. 
    A 2√6 cm Correct Answer Incorrect Answer
    B 2√2 cm Correct Answer Incorrect Answer
    C 4√3 cm Correct Answer Incorrect Answer
    D 8 cm Correct Answer Incorrect Answer

    Solution

    Let the height of the cylinder be 'h' cm. Volume of cylinder = (Area of base X height of cylinder) ÷ 3 Area of base = π X (4)2 = 16π cm2 64π√3 = (16π) X h ÷ 3 Or, h = 4√3 Slant height of a cylinder = √(radius2 + height2) = √(16 + 48) = 8 cm

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