Multiple Choice Questions on A solid spherical ball made of iron is melted and two new balls are made whose diameters are in the ........... for CAPF (AC) Exam Preparation

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Multiple Choice Questions

A solid spherical ball made of iron is melted and two new balls are made whose diameters are in the ...........

Quantitative Aptitude( Paper-I ) Mensuration 2D
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    A solid spherical ball made of iron is melted and two new balls are made whose diameters are in the ratio of 1 : 2. The ratio of the volume of the smaller new ball to the original ball is

    This questions was previously asked in
    CAPF 2022 Paper-1
    View All CAPF Previous Year Papers

    1: 3

    Incorrect Answer

    1: 5

    Incorrect Answer

    2: 9

    Incorrect Answer

    1: 9

    Correct Answer
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    Explanation:

    1: 9.

    • 4/3 πr3 = 4/3 πr13+4/3 πr23
    • d1/d2= ½
    • . r1/r2= ½
    • so. r1
    • . r2=2r1
    • 4/3 πr3 = 4/3 πr13 +4/3 πr23
    • = 4/3 π (r13 +8r13)
    • =4/3 π 9r13
    • 4/3 πr3 = 4/3 π 9r13
    • original volume= 9* volume of smaller ball
    • ratio= 1/9

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