Railways Sample Paper RRB (Group D) Sample Test Paper-11

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

    B)  \[108\,\pi \,c{{m}^{3}}\]

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

    D)  \[112\,\pi \,c{{m}^{3}}\]

    Correct Answer: C

    Solution :

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


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