Answer :

Radius of hemispherical bowl = rh = 9 cm


Diameter of cylindrical bottle = 3 cm


Radius of cylindrical bottle = rc = cm


Height of cylindrical bottle = h = 4 cm


The volume of water is transferred from hemispherical bowl to cylindrical bottles


Suppose there are n bottles then volume of water filled in n bottles will be same as volume of water in hemispherical bowl


Volume of hemisphere = πrh3


Volume of cylinder = πrc2h


πrh3 = n × πrc2h


2rh3 = 3nrc2h


Substitute values


2 × 93 = 3n × × 4


2 × 93 = 3n × 9


2 × 92 = 3n


162 = 3n


n = 54


Therefore, 54 bottles are required to empty the bowl


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