Manipal Medical Manipal Medical Solved Paper-2011

  • question_answer
    The error in the measurement of radius of sphere is 0.3%, what is percentage error in the measurement of its volume?

    A)  0.3%            

    B)  0.6%

    C)  0.9%             

    D)  \[\frac{4}{3}\pi {{(0.3)}^{3}}\]

    Correct Answer: C

    Solution :

     Error in radius, \[\frac{\Delta r}{r}=0.3%\] Volume of sphere\[=\frac{4}{3}\pi {{r}^{3}}\] \[\therefore \]Error in volume\[=3\times \frac{\Delta r}{r}\] \[=(3\times 0.3)%=0.9%\]


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