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    Question

    A solid right-circular cone is 11.2 cm high, and the

    radius of its base is 2.8 cm. If the cone is melted and recast into a sphere, then what will be the diameter of the sphere?
    A 8.4 cm Correct Answer Incorrect Answer
    B 4.2 cm Correct Answer Incorrect Answer
    C 2.8 cm Correct Answer Incorrect Answer
    D 5.6 cm Correct Answer Incorrect Answer

    Solution

    Let the radius of sphere be r. For cone, h = 11.2 cm, r' = 2.8 cm Now, the Volume of the cone = the volume of the sphere r³ = [(2.8)2 x (11.2)/4]  r³ = [(2.8)2 x 2.8]  r³ = (2.8)3  r = 2.8 cm The diameter is 2r = 2 x (2.8) = 5.6 cm

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