Manipal Medical Manipal Medical Solved Paper-2003

  • question_answer
    A copper sphere of diameter 18 cm. is drawn into a wire of diameter 4 mm. Length of the wire is:

    A)  214 m         

    B)  242 m

    C)  243m         

    D)  244m

    Correct Answer: C

    Solution :

     Let the length of the wire be\[l\]cm. volume of sphere = volume of wire \[\frac{4}{3}\pi {{r}^{3}}=\pi {{r}^{2}}h\] But length of the wire be\[l\] \[\frac{4}{3}\times \pi \times 9\times 9\times 9=\pi \times 0.2\times 0.2\times l\] \[l=\frac{4}{3}\times 9\times 9\times 9\times \frac{1}{0.2\times 0.2}\] \[=24300\,cm\] \[=243m\]


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