SSC Sample Paper Mock Test-4 SSC CGL Tear-II Paper-1

  • question_answer
    Three solid metallic balls of radii 3 cm, 4 cm and 5 cm are melted and moulded into a single solid ball. The radius of the new ball is

    A)  2 cm               

    B)  3 cm

    C)  4 cm                           

    D)  6 cm

    Correct Answer: D

    Solution :

    Let the radius of new ball = R cm \[\therefore \]      \[\frac{4}{3}\pi {{R}^{3}}=\frac{4}{3}\pi ({{3}^{3}}+{{4}^{3}}+{{5}^{3}})\] \[{{R}^{3}}=27+64+125=215\] \[\Rightarrow \]   \[R=\sqrt[3]{6\times 6\times 6}=6\,\,cm\]


You need to login to perform this action.
You will be redirected in 3 sec spinner