SSC Sample Paper SSC CGL - Sample Paper-28

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

    B) \[12\,\,\pi \,\,\text{c}{{\text{m}}^{\text{3}}}\]

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

    D) \[20\,\,\pi \,\,\text{c}{{\text{m}}^{\text{3}}}\]

    Correct Answer: A

    Solution :

    \[\because \] \[h=3\,\text{cm,}\] 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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