Multiple Choice Questions on A hemispherical bowl of internal radius 9 cm is full of liquid This liquid is to be filled into cyli........... for Graduation cum Career Security Preparation

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    A hemispherical bowl of internal radius 9 cm is full of liquid. This liquid is to be filled into cylindrical shaped small bottles each of diameter 3 cm and height 4 cm. How many bottles are necessary to empty the bowl?

    54

    Correct Answer

    55

    Incorrect Answer

    58

    Incorrect Answer

    77

    Incorrect Answer
    Explanation:

    Given,
    The internal radius of the hemispherical bowl = 9 cm
    Volume of the hemisphere = (4/3)∏×r3
    = (4/3)∏×93………………………….(i)
    Given,
    Diameter of the cylindrical bottle = 3 cm
    Radius = 3/2 cm = 1.5 cm
    Volume of the cylinder = ∏×r2×h
    =∏×1.52×4 …………………..(ii)
    Volume of the hemispherical bowl is equals to (n) multiplied by volume of the cylindrical bottles.
    Now,
    Comparing equations i and ii,
    We get,
    (4/3)∏×93 =∏×1.52×4
    N= 54
    54 cylindrical bottles are required to empty a hemispherical bowl.


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