SSC Sample Paper SSC (Group-C) Sample Test Paper-2

  • question_answer
    The perimeter of the base of a right circular cone is 8 cm. If the height of the cone is 21 cm, then its volume is:

    A)  \[108\,\pi \,c{{m}^{3}}\]

    B)  \[\frac{112}{\pi }\,\,c{{m}^{3}}\]  

    C)  \[112\,\pi \,c{{m}^{3}}\]

    D)  \[\frac{108}{\pi }\,\,c{{m}^{3}}\]

    Correct Answer: B

    Solution :

     \[2\pi r=8\Rightarrow 4\pi r=4\] \[\Rightarrow \,\,r=\frac{4}{\pi }\] \[\therefore \] \[V=\frac{1}{3}\pi {{r}^{2}}h=\frac{1}{3}\times \frac{4\times 4}{\pi \times \pi }\times 21\]          \[=\frac{112}{\pi }cu.\,cm.\]


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