SSC Sample Paper SSC CGL - Sample Paper-2

  • question_answer
    A cone of height 7 cm and base radius 1 cm is curved from a cuboidal block of wood \[10\text{ }cm\times 5\text{ }cm\times 2\text{ }cm.\] Assuming \[\pi =\frac{22}{7}\] the percentage wood waste in the process is

    A)  \[92\frac{2}{3}%\]%                   

    B)  \[46\frac{1}{3}%\]%

    C)  \[53\frac{2}{3}%\]%

    D)         \[7\frac{1}{3}%\]%

    Correct Answer: A

    Solution :

    \[\therefore \] Height of cone \[=7\,cm\] and radius of base \[=1\,cm\] \[\therefore \] Volume of cone \[=\frac{1}{3}\times 7\times 1\times 1\times \frac{22}{7}=\frac{22}{7}c{{m}^{3}}\] And volume of conical block \[=10\times 5\times 2=100\,c{{m}^{2}}\] \[\therefore \]      Wastage \[=100-\frac{22}{3}=\frac{278}{3}c{{m}^{3}}\] \[\therefore \]      Percentage of wastage \[=\frac{278}{3}\times \frac{100}{100}%=92\frac{2}{3}%\]

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