10th Class Mathematics Mensuration Question Bank Mensuration

  • question_answer
    A cylindrical rod, whose height is 8 times its radius, is melted and cast into spherical balls of the same radius. The total number of spherical balls, so formed, is

    A)  3                                            

    B)  4

    C)  6                              

    D)         8

    Correct Answer: C

    Solution :

     Let the radius of cylindrical rod be r. Then its height will be 8r. \[\therefore \]  Volume of cylindrical rod \[=\pi \,{{r}^{2}}.\,8r=8\,\pi \,{{r}^{3}}\] Since the radius is same, therefore volume of one spherical ball                 \[=\frac{4}{3}\,\pi .{{r}^{3}}\] \[\therefore \]  Number of balls \[=\frac{\frac{8\pi {{r}^{3}}}{4\pi \,{{r}^{3}}}}{3}=6\]


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