Multiple Choice Questions on The height of a cone is 60cm A small cone is cut off at the top of by a plane parallel to its base I........... for Mathematics - All Exams Preparation

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Multiple Choice Questions

The height of a cone is 60cm A small cone is cut off at the top of by a plane parallel to its base I...........

Quantitative Aptitude ( CCS) Mensuration 2D
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    The height of a cone is 60cm. A small cone is cut off at the top of by a plane parallel to its base. If its volume is 1/64 of volume of the cone, at what height above the base is the section made?

    17cm

    Incorrect Answer

    20cm

    Incorrect Answer

    23cm

    Incorrect Answer

    15cm

    Correct Answer
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    Explanation:

    (? * π * r1^2 * h1 )/ (? π * r^2 * h) / 1/64
    (r1/r)^2 * h1/h = 1/64
    (h1/h) ^3 = (¼)^3 ( r1/r = h1/h)
    h1 = ¼ * 60=15

    By: Amit Kumar
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