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SSC Sample Paper Mock Test-5 SSC CGL Tear-II Paper-1

  • question_answer
    If the height of a cone is doubled, then its volume is increased by

    A)  100%

    B)  2000%

    C)  300%              

    D)  400%

    Correct Answer: A

    Solution :

    Let r and h be the radius and height of the cone. \[\therefore \]      Original volume \[=\frac{1}{3}\pi {{r}^{2}}h=V\] New radius = r and new height = 2 h New volume \[=\frac{1}{3}\pi {{r}^{2}}\times 2\,h=2\,V\] \[\therefore \]      Increase in volume \[=2V-V=V\] Increase percentage of volume \[=\left( \frac{V}{V}\times 100 \right)%=100%\]                        


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