Multiple Choice Questions on A duster is of dimension 5x5x7 all in cms is sinked into a cylindrical vessel of radius 5 cm an........... for Mathematics - All Exams Preparation

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Multiple Choice Questions

A duster is of dimension 5x5x7 all in cms is sinked into a cylindrical vessel of radius 5 cm an...........

Quantitative Aptitude ( CCS) Percentage
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    A duster is of dimension 5x5x7 all in cms,  is sinked into a cylindrical vessel of radius 5 cm and height 10 cm. After insertion the level of the water is inccresed by 2.14 cm. Then by what percentage the part of the duster is above the layer ?

    96%

    Incorrect Answer

    4%

    Correct Answer

    50%

    Incorrect Answer

    8%

    Incorrect Answer
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    Explanation:

    Imension of the duster is assumed as 5x5x7 cm3

    Volume of the duster below the water layer
    = volume of water increased
    = πr2h = 3.14×52×2.14 ≈ 168 cm3

    Total volume of the duster = 5×5×7 = 175 cm3

    Percentage of the duster part below the layer = 168×100/175 = 96%

    Hence, option 2 is the correct answer.

    Percentage of the duster part above the layer = 4%

    By: Amit Kumar
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