Multiple Choice Questions on A cone whose height is half of its radius is melted to from a hemi sphere Find the ratio of the radi........... for Mathematics - All Exams Preparation

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Multiple Choice Questions

A cone whose height is half of its radius is melted to from a hemi sphere Find the ratio of the radi...........

Quantitative Aptitude ( CCS) Mensuration 3D
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    A cone whose height is half of its radius is melted to from a hemi-sphere. Find the ratio of the radius of the hemi-sphere to that of cone.

    1:3

    Incorrect Answer

    4:1

    Incorrect Answer

    1:4

    Correct Answer

    1:2

    Incorrect Answer
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    Explanation:

    Answer & Explanation
    Answer – c)1:4
    Explanation :
    volume will remains constant. So,
    V = 1/3*22/7*r^2*r/2 (volume of cone) and V = 2/3*22/7*R^3 (volume of hemi-sphere)
    So, R/r = 1:4

    By: MIRZA SADDAM HUSSAIN
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