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MGIMS WARDHA MGIMS WARDHA Solved Paper-2006

  • question_answer
    If error in measurement of radius of sphere is 1%, what will be the error in measurement of volume?

    A) 1%                                         

    B) 1/3%

    C) 3%                                         

    D) 10%

    Correct Answer: C

    Solution :

    Volume of sphere\[V=\frac{4}{3}\pi {{r}^{3}}\] Error in volume\[\frac{\Delta V}{V}=3\left( \frac{\Delta r}{r} \right)\] % error in volume\[=3\times \] percentage error in radius \[=3\times 1=3%\]


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