Multiple Choice Questions on The radius of a wire is decreased to one third If volume remains the same length will increase by ........ for SSC CGL Exam Preparation

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Multiple Choice Questions

The radius of a wire is decreased to one third If volume remains the same length will increase by ........

Quantitative Aptitude (CGL) Mensuration 3D
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    The radius of a wire is decreased to one-third. If volume remains the same, length will increase by

    1.5 times

    Incorrect Answer

    3 times

    Incorrect Answer

    6 times

    Incorrect Answer

    9 times

    Correct Answer
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    Explanation:

    Let the radius of wire = 1 cm
    Volume of cone =1/3πr^2h
    =(1/3)π(1)^2h=(1/3)πh
    New radius of wire =1/3cm
    Volume of new cone
    =1/3π(13)^2H
    1/27πH
    Volume of old cone = Volume of new cone
    1/3πh=1/27πH
    H=9h

    By: MIRZA SADDAM HUSSAIN
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