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SSC Sample Paper Mock Test-18 SSC CGL Tear-II Paper-1

  • question_answer
    If a solid sphere of radius r is melted and cast into the shape of a solid cone of height r, then the radius of the base of the cone is

    A) r

    B)  2r     

    C)  3r

    D)  4r

    Correct Answer: B

    Solution :

    Let the radius of the cone be .R, then \[\frac{4}{3}\pi {{r}^{3}}=\frac{1}{3}\pi {{R}^{2}}\times r\]   \[(\because h=r)\] \[\Rightarrow \]   \[{{R}^{2}}=4{{r}^{2}}\]\[\Rightarrow \]\[R=2r\]


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