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SSC Sample Paper SSC-CGL TIER - I Sample Test Paper-2

  • question_answer
    A hemisphere of iron is melted and recast in the shape of a right circular cylinder of diameter 18 cm and height 162 cm. The radius of the hemisphere is -

    A)  27 cm 

    B)  9 cm

    C)  6 cm               

    D)  12 cm

    Correct Answer: A

    Solution :

     Volume of the cylinder = volume of hemisphere \[\pi \times {{9}^{2}}\times 162=\frac{2}{3}\pi {{r}^{3}}\] \[\Rightarrow {{r}^{3}}=\frac{81\times 162\times 3}{2}\] \[r=\sqrt[3]{81\times 81\times 3}={{3}^{3}}=\]


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