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Q.

A hemispherical bowl of internal diameter 36cm is full of liquid. The liquid is to be filled into cylindrical shaped bottles each of radius 3cm and height 9cm. How many bottles are required to empty the bowl.


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a

24

b

35

c

12

d

48 

answer is D.

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Detailed Solution

Radius of the hemispherical bowl = 18cm
Volume of hemisphere bowl = Question ImageRadius of cylindrical bottle = 3 cm
Volume of cylindrical bottle = 6 cm
Volume of cylindrical bottle = Question ImageSuppose x bottles are required to empty the bowl.
Volume of x cylindrical bottles Question ImageVolume of liquid in x bottles = volume of bowl
Question ImageHence, 72 bottles are required to empty the bowl.
Hence, Option (4) is the correct answer.
 
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