Q4 of 48 Page 270

A hemispherical bowl of internal radius 18 cm contains an edible oil to be filled in cylindrical bottles of radius 3 cm and height 9 cm. How many bottles are required to empty the bowl?

Given.


Radius of hemisphere is 18 cm


Radius of cylinder is 3 cm


Height of cylinder is 9 cm


Formula used/Theory.


Volume of cylinder = πr2h


Volume of hemisphere = πr3


Volume of cylindrical bottle = πr2h


= π × (3cm)2 × 9 cm


= 81π cm3


Volume of hemispherical bowl = πr3


= × π × (18 cm)3


= 3888 π cm3


Number of cylindrical bottle will be get by dividing Volume of hemispherical bowl by Volume of each Cylindrical bottle


Number of cylindrical bottle =


=


= 48 bottles


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