Multiple Choice Questions on There are seven hemispherical containers of radius R metres each and each of them is fully filled wi........... for UPSC EPFO Exam Preparation

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Multiple Choice Questions

There are seven hemispherical containers of radius R metres each and each of them is fully filled wi...........

Quantitative Aptitude Mensuration 3D
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    There are seven hemispherical containers of radius R metres each and each of them is fully filled with water. The water in these is transferred to a hemispherical container of radius equal to 1.5 times of R such that a maximum number of smaller containers get emptied out. How many smaller containers remain fully filled when the larger container gets fully filled?

    This questions was previously asked in
    EPFO APFC 2023
    View All EPFO Previous Year Papers

    5

    Incorrect Answer

    4

    Incorrect Answer

    3

    Correct Answer

    2

    Incorrect Answer
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    Explanation:

    To find out how many smaller containers remain fully filled, let's compare the volumes of the containers:

    1. Volume of a smaller hemispherical container: 2/3 pi R3

    2. Volume of the larger hemispherical container (radius = 1.5R):

    - 2/3 pi (1.5R)3 = 2/3 pi times 3.375R3

    This means the larger container can hold the volume of 3.375 smaller containers.

    - Original smaller containers: 7

    - Remaining fully filled smaller containers when the larger is full: 7 - 4 = 3

    Answer: Option 3 - 3

    By: santosh
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