Answer :

Given: Radius of hemisphere = rh = 9 cm


Diameter of cylindrical shaped bottles = 3 cm


radius of cylindrical shaped bottles = rc = 3/2 = 1.5 cm


Height of cylindrical shaped bottle = h = 4 cm


Formula: volume of hemisphere = (volume of sphere/2) = (2/3)πrh3


Volume of cylinder = πrc2h


Let ‘n’ bottles are required


As we are filling the cylindrical bottles with liquid in hemispherical bowl hence we can say that


volume of liquid in cylindrical bottles = volume of liquid in hemisphere


n × π × rc2 × h = (2/3) × π × rh3


n × (3/2)2 × 4 × 3 = 2 × 93


n = 33 × 2


n = 27 × 2


n = 54


Therefore 54 cylindrical shaped bottles are required to fill the liquid from hemispherical bowl.


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