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SSC Sample Paper SSC CGL - Sample Paper-25

  • question_answer
    A conical vessel whose internal radius is 12 cm and height 50 cm is full of liquid. The contents are emptied into a cylindrical vessel with radius (internal) 10 cm. The height to which the liquid rises in the cylinder vessel is

    A) 25 cm              

    B) 20 cm

    C) 24 cm  

    D) 22 cm

    Correct Answer: C

    Solution :

    \[\because \]       \[r=12\,cm,\] \[h=50\,m\] \[\therefore \] Volume of conical vessel \[=\frac{1}{3}\pi {{r}^{2}}h\]             \[=\frac{1}{3}\pi \times 12\times 12\times 50\]             \[=2400\pi \,c{{m}^{3}}\] This liquid is emptied into a cylindrical vessel whose radius is 10 cm. Let h be the height of liquid in a cylindrical vessel. \[\therefore \]      \[2400\pi \,=\pi \times 10\times 10\,h\] \[\Rightarrow \]   \[h=24\,cm\]     


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