10th Class Mathematics Surface Areas and Volumes Question Bank Surface Area and Volume

  • question_answer
    The diameter of a copper sphere is 6 cm. It is beaten and drawn into a wire of diameter 0.2 cm. What is the length of the wire?

    A)  36 cm      

    B)                         360 cm

    C)  3600 cm              

    D)         306 cm

    Correct Answer: C

    Solution :

     Diameter of sphere = 6 cm Diameter of wire =0.2 cm Volume of cylindrical wire = Volume of sphere \[\Rightarrow \]\[\pi {{r}^{2}}h=\frac{4}{3}\pi {{R}^{3}}\] \[\Rightarrow \]\[h=\frac{4}{3}\times \frac{22}{7}\times {{3}^{3}}\times \frac{7}{22}\times \frac{1}{0.01}\] \[=\text{36}00\text{ cm}\] \[\therefore \] Length of wire is 3600 cm.


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