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

  • question_answer
    The volume of solid cylinder whose diameter of the base 14 mm and length 25 mm is 3850 cu mm. If length of the cylinder is doubled but the diameter is halved what will be the volume of the resulting

    A) 1278 cu mm

    B)  1925 cu mm

    C)  2725 cu mm    

    D)  None of these

    Correct Answer: B

    Solution :

    \[\frac{\text{First}\,\,\text{volume}\,\,\text{of}\,\,\text{cylinder}}{\text{Second}\,\,\text{volume}\,\,\text{of}\,\,\text{cylinder}}\] \[\text{=}{{\left( \frac{\text{First}\,\,\text{radius}}{\text{Second}\,\,\text{radius}} \right)}^{\text{2}}}\text{ }\!\!\times\!\!\text{ }\frac{\text{First}\,\,\text{height}}{\text{Second}\,\,\text{height}}\text{or}\frac{\text{3850}}{\text{Second}\,\,\text{volume}}\]\[={{\left( \frac{1}{2} \right)}^{2}}\times \left( \frac{2}{1} \right)\] \[\therefore \] Second volume \[=\frac{1}{2}\times 3850=1925\]cu mm


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