SSC Sample Paper SSC CGL - Sample Paper-7

  • question_answer
    A right triangle with sides 3 cm, 4 cm and 5 cm is rotated about the side of 3 cm to form a cone. The volume of the cone so formed is

    A)  \[16\,\pi \,\,c{{m}^{3}}\]        

    B)  \[12\,\pi \,\,c{{m}^{3}}\]

    C)  \[15\,\pi \,\,c{{m}^{3}}\]                    

    D)  \[20\,\pi \,\,c{{m}^{3}}\]

    Correct Answer: A

    Solution :

    \[\because \] \[h=3\,cm,\] and \[r=4\,cm\] \[\therefore \] Volume of cone\[=\frac{1}{3}\pi {{r}^{2}}h\]                            \[=\frac{1}{3}\pi \times 16\times 3=16\pi \,c{{m}^{3}}\]        


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