Q18 of 46 Page 1

A hemispherical bowl of internal diameter 36 cm contains liquid. This liquid is filled into 72 cylindrical bottles of diameter 6 cm. Find the height of the each bottle, if 10% liquid is wasted in this transfer.

For hemispherical bowl


Radius,


Liquid in hemispherical bowl = volume of hemispherical bowl




As 10% liquid is wasted, 90% liquid got transferred


i.e. 90% of 3888π cm3 got transferred.


i.e. 3499.2π cm3 got transferred.


For bottles,


Radius,


Let Height = h


Volume of 72 bottles = liquid got transferred = 3499.2π cm3


Volume of one bottle = 3499.2π/72 = 48.6π cm3


Volume of one bottle = volume of cylinder = πR2h


So,


48.6π = π(3)2h


9h = 48.6


h = 5.4 cm


Height of one bottle is 5.4 cm

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