Q22 of 51 Page 1

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

Given: Diameter of bowl = 36 cm


Diameter of bottle = 6 cm


To find: height of each bottle.


Formula Used:


Volume of the cylinder = πr2h


The volume of hemisphere =


Explanation:



Given ,internal diameter of the bowl ,D = 36 cm


∴radius of the bowl,


As we know that volume of the hemisphere


So, the volume of the hemispherical bowl


Diameter of the cylindrical bottle, d = 6 cm


∴radius of the bottle,


Let the height of the bottle be h cm.


∴Volume of each bottle =


As given that the liquid is filled in 72 bottles and 10% liquid is wasted in the transfer.


∴ 90% of volume of the liquid = 72×voume of each bottle




Hence, the height of each water bottle = 5.4 cm


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