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A conical vessel of radius 12 cm and hei...

A conical vessel of radius 12 cm and height 16 cm is completely filled with water. A sphere is lowered into the water. Its size is such that when it touches the sides, it is just immersed. What is the fraction of water that overflows ?

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The correct Answer is:
`3/8`
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Knowledge Check

  • Statement-I : A beaker is completely filled with water at 4^(@)C . It will overflow both when heated on cooled. Statement-II : There is expansion of water both below and above 4^(@)C .

    A
    Statement-I is true, statement-II is true and
    statement- II is correct explanation for statement-I.
    B
    Statement-I is true, statement-II is true and
    statement-II is not correct explanation of statement-I
    C
    Statement-I is true, statement-II is false.
    D
    Statement-I is false, statement-II is false.

  • Four identical spheres each of radius 10 cm and equal mass 1 kg each are placed on horizontal surface touching each other so that their centres are located at the vertices of a square of side 20 cm. What is the distance of their centre of mass from the centre of either sphere?

    A
    20 cm
    B
    10 cm
    C
    `10sqrt(2)` cm
    D
    5 cm

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