SSC Sample Paper SSC CGL - Sample Paper-2

  • question_answer
    The number of sphere of 6 cm diameter that can be made out of a metallic solid cylinder of diameter 4 cm and height 45 cm, is

    A)  5        

    B)  6

    C)  8                                

    D)  10      

    Correct Answer: A

    Solution :

    Radius of cylinder, \[{{r}_{1}}=2\,cm\] And height of cylinder, \[{{h}_{1}}=45\,cm\] \[\therefore \] Volume of cylinder \[=\pi {{2}^{2}}\times 45\]                                  \[=180\pi \] Now, radius of sphere \[=3\,cm\] \[\therefore \] Volume of sphere \[=\frac{4}{3}\pi {{(3)}^{3}}\]                                \[=36\pi \] \[\therefore \] Number of required sphere \[=\frac{180\pi }{36\pi }=5\]                    

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