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    Question

    The radius and the height of a right circular cone are

    in the ratio 3 : 4. If its volume is 301.44 m┬│, find the slant height (use ╧А = 3.14).
    A 5 cm Correct Answer Incorrect Answer
    B 20 cm Correct Answer Incorrect Answer
    C 10 cm Correct Answer Incorrect Answer
    D 15 cm Correct Answer Incorrect Answer

    Solution

    Let the radius of the cone be 3x cm and the height 4x cm, then. ┬а Volume of cone = 1/3 ╧Аr┬▓h ATQ- 1/3 ╧А (3x)2 (4x) = 301.44 1/3├Ч3.14├Ч36x┬│ =301.44 37.68 x┬│ =301.44 x┬│ = 8 x = 2 Thus, the radius of the cone is 6 cm, and the height 8 cm. Now, slant height of cone = (6)┬▓ + (8)┬▓ = 10 cm.

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