10th Class Mathematics Mensuration Question Bank Mensuration

  • question_answer
    If the volume and surface area of a sphere are numerically the same, then its diameter is

    A)  6 units                   

    B)  8 units

    C)  10 units             

    D)         12 units

    Correct Answer: A

    Solution :

     If r be the radius of sphere, then by hypothesis \[\frac{4}{3}\pi {{r}^{3}}=4\,\pi {{r}^{2}}\]or        \[r=3\] Hence, diameter \[=2r=2\times 3=6\] units.


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