Railways Sample Paper RRBs Assistant Loco Pilot and Technician CBT STAGE-I Sample Paper-21

  • question_answer
    The sum of the radius of base and the height of a cylinder is 37 m. If the total surface area of the cylinder is 1628 \[{{m}^{2}}\], then its volume is

    A)  \[5240\,\,{{m}^{3}}\] 

    B)  \[4620\,\,{{m}^{3}}\]

    C)  \[3180\,\,{{m}^{3}}\] 

    D)  None of the above

    Correct Answer: B

    Solution :

    Given, (r+ h) = 37 m Total surface area \[2\pi r(h+r)\] \[\therefore \]      \[2\pi \times 37=1628\] \[\Rightarrow \]   \[\frac{22}{7}\times r=22\Rightarrow r=7m\] \[\therefore \]      \[h=37-7=30m\] \[\therefore \,\,\]Volume \[=\pi {{r}^{2}}=\left( \frac{22}{7}\times 7\times 7\times 30 \right)\] \[=4620\,\,{{m}^{2}}\]


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