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SSC Sample Paper Mock Test-9 SSC CGL Tear-II Paper-1

  • question_answer
    If the number of square centimeters on the surface of a sphere is equal to the number of cubic centimetres in its volume. What is the diameter of the sphere?

    A) 3 cm    

    B)  4 cm    

    C)  5 cm   

    D)  6 cm

    Correct Answer: D

    Solution :

    Volume of a sphere \[=\frac{4}{3}\pi {{r}^{3}},\] r = radius Surface area \[=4\,\,\pi {{r}^{2}}\Rightarrow 4\,\,\pi {{r}^{2}}=\frac{4}{3}\pi {{r}^{3}}\] (by condition) \[\Rightarrow \]               \[r=3\] \[\therefore \] Diameter of the sphere \[=3\times 2=6\,\,\text{cm}\]


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