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    Question

    Determine the slant height of a cone with a volume of

    1,884 cm³ and a base radius of 15 cm. (Use π = 3.14)
    A 8 cm Correct Answer Incorrect Answer
    B 21 cm Correct Answer Incorrect Answer
    C 17 cm Correct Answer Incorrect Answer
    D 12 cm Correct Answer Incorrect Answer
    E 28 cm Correct Answer Incorrect Answer

    Solution

    Volume of cone = (1/3) x π X radius2 X height So, (1/3) x 3.14 x 152 x height = 1,884 Or, 235.5 x height = 1,884 Or, height = 8 cm Now, slant height = √(radius2 + height2) = √(152 + 82) = √(225 + 64) = √289 = 17 cm

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