Q. 153.7( 3 Votes )
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.
Volume of the cylinder = πr2h
The volume of hemisphere =
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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