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

  • question_answer
    The radius and the height of a cylinder are in the ratio of 5 : 7 and its volume is \[550\,\,\text{c}{{\text{m}}^{3}}.\]Then, its radius is

    A) 3 cm

    B)  4 cm    

    C)  \[\frac{4}{3}\]cm

    D)  5 cm

    Correct Answer: D

    Solution :

    Let radius of cylinder be 5x and height be 7x. \[\therefore \]      Volume \[=\pi {{r}^{2}}h=550\] \[\frac{22}{7}\times {{(5x)}^{2}}\times 7x=550\]           (Given) \[22\times 25{{x}^{3}}=550\] \[{{x}^{3}}=\frac{550}{22\times 25}=1x=1\] Here,     radius \[=5x=5\times 1=5\,\,\text{cm}\]


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