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    Question

    The total surface area of a cube is given as 216 cmยฒ.

    The radius of a cone is twice the length of the edge of the cube, and the height of the cone is 16 cm. Calculate the curved surface area of the cone. (take ฯ€ = 3)
    A 960 sq cm Correct Answer Incorrect Answer
    B 840 sq cm Correct Answer Incorrect Answer
    C 600 sq cm Correct Answer Incorrect Answer
    D 696 sq cm Correct Answer Incorrect Answer
    E 720 sq cm Correct Answer Incorrect Answer

    Solution

    Let the edge of the cube be 'a' cm. Then, total surface area of the cube = 6a2 So, 6a2ย = 216 a = 6 Therefore, radius of the cone = 6 X 2 = 12 cm So, slant height of the cone = โˆš(radius)ย 2ย + (height)ย 2 = โˆš(162ย + 122) = โˆš400 = 20 cm So, curved surface area of the cone = ฯ€ X radius X slant height = 3 X 12 X 20 = 720 cm2

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