Multiple Choice Questions on The radius of a sphereis increased by 140 By what percent will its volume increase ........ for SSC CGL Exam Preparation

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Multiple Choice Questions

The radius of a sphereis increased by 140 By what percent will its volume increase ........

Quantitative Aptitude (CGL) Mensuration 3D
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    The radius of a sphereis increased by 140%. By what percent will its volume increase?

    This questions was previously asked in
    SSC CGL 10 June 2019 Shift-3
    View All ssc Previous Year Papers

    174.4%

    Incorrect Answer

    1282.4%

    Correct Answer

    274.4%

    Incorrect Answer

    1382.4%

    Incorrect Answer
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    Explanation:

    Volume of sphere = _{3}^{4}\pi r^{3}
    Now when r is increased by 140% we get new r = 2.4r
    so volume becomes = _{3}^{4}\pi\left (2.4r\right )^{3}
                                       \left ( _{3}^{4}\pi \left ( 2.4r \right )^{3} \right )-_{3}^{4}\pi r^{3}

    Now percentage increase = _{3}^{4}\pi r^{3}
    we get 1282.4%

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