Deepak Bora
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A hemispherical bowl of internal radius 9 cm is full of water. Its contents are emptied into a cylindrical vessel of internal radius 6 cm. Find the height of water in the cylindrical vessel.

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This question was asked in 2012 cbse board exam. Question from RS Aggarwal book chapter volume and surface area of solid, page number 811, exercise 17B, problem number 19


1 Answer

  1. given in problem,

    the radius of the hemispherical bowl, R = 9 cm

    the internal base radius of the cylindrical vessel, r = 6 cm

    the height of the water in the cylindrical vessel be h.

    for that,

    volume of the hemispherical bowl = volume of the cylindrical vessel

    [2/3] Π r³ = Πr²h

    [2/3]  r³ = r²h

    [2/3] *9*9*9 = 6*6*h





    h=13.5 cm

    ∴ The height of the water in the cylindrical vessel is 13.5 cm.

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