SSC Sample Paper Mock Test-12 SSC CGL Tear-II Paper-1

  • question_answer
    The volume of a cone is equal to that of a sphere. If the diameter of base of cone is equal to the diameter of the sphere, what is the ratio of height of cone to the diameter of the sphere?

    A) 2 : 1     

    B)  1 : 2  

    C)  3 : 1    

    D)  4 : 1

    Correct Answer: A

    Solution :

    Let the radius of cone and sphere be r. By given condition, Volume of cone = Volume of sphere \[\therefore \]      \[\frac{1}{3}\pi \,\,{{r}^{2}}\,{{h}_{1}}=\frac{4}{3}\pi \,{{(r)}^{3}}\]\[\Rightarrow \]\[\frac{{{h}_{1}}}{2r}=\frac{2}{1}\]


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