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CLAT Sample Paper CLAT Sample Paper-1

  • question_answer
    If the height of a cone is half the radius of a sphere, then the radius of the base of the cone, which has the same volume as a sphere of radius 7 cm is

    A)  \[14\,cm\]

    B)  \[\frac{14}{\sqrt{2}}\,cm\]

    C)  \[\frac{14}{\sqrt{2}}\,cm\]

    D)  None of these

    Correct Answer: C

    Solution :

    Volume of cone = Volume of sphere \[=\frac{1}{3}\pi {{r}^{2}}\times \frac{7}{2}=\frac{4}{3}\times {{(7)}^{3}}\] \[\Rightarrow \] \[r=14\sqrt{2}\,cm\]


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