Q. 44.8( 4 Votes )
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?
Answer :
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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