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NTSE Sample Paper NTSE SAT Practice Test-8

  • question_answer
    If the height of a cone is decreased by 64%, then by how much percentage should its base radius be increased to maintain the same volume?

    A) 25%                            

    B) 64%

    C) \[\frac{200}{3}%\]         

    D)        \[\frac{500}{3}%\]

    Correct Answer: C

    Solution :

    \[\frac{1}{3}\pi {{r}^{2}}h=\frac{1}{3}\pi {{R}^{2}}\left( \frac{36}{100}h \right)\] \[\Rightarrow \,\,R=\frac{5}{3}r\] Increase m original radius \[=\frac{5}{3}r-r=\frac{2}{3}r\] \[=\frac{200}{3}%r.\]


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