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SSC Sample Paper Mock Test-16 SSC CGL Tear-II Paper-1

  • question_answer
    The radius and height of a right circular cone are in the ratio of 5 : 12 and its volume is \[2512\,\,\text{c}{{\text{m}}^{3}}.\]The slant height of the cone is

    A) 24 cm

    B)  25 cm

    C)  26 cm

    D)  27 cm

    Correct Answer: C

    Solution :

    Here,\[\frac{1}{3}\pi {{r}^{2}}h=2512\]and \[r=5x\]and \[h=12x\] \[\frac{1}{3}\times 3.14\times {{(5x)}^{2}}\times 12x=2512\] \[{{x}^{3}}=\frac{2512}{314}=8\] \[\Rightarrow \]\[x=2\] \[\therefore \] Radius = 10 cm, height = 24 cm \[\therefore \] Slant height, \[h=\sqrt{{{r}^{2}}+{{h}^{2}}}=\sqrt{{{10}^{2}}+{{24}^{2}}}=\sqrt{676}=26\,\,\text{cm}\]


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