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SSC Sample Paper Mock Test-8 SSC CGL Tear-II Paper-1

  • question_answer
    Three solid spheres of a metal whose radii are 1 cm, 6 cm and 8 cm are melted to form another solid sphere. The radius of this new sphere is

    A) 10.5 cm

    B)  9.5 cm

    C)  10 cm

    D)  9 cm

    Correct Answer: D

    Solution :

    \[\frac{4}{3}\pi {{r}^{3}}=\frac{4}{3}\pi {{(1)}^{3}}+\frac{4}{3}\pi {{(6)}^{3}}+\frac{4}{3}\pi {{(8)}^{3}}\] \[\Rightarrow \]   \[\frac{4}{3}\pi {{r}^{3}}=\frac{4}{3}\pi (1+216+512)\] \[\Rightarrow \]   \[{{r}^{3}}=729\]\[\Rightarrow \]\[r=9\,\,\text{cm}\]


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