A hemispherical bowl of internal radius 9 cm is full of liquid This liquid is to be filled into cyli...........

Quantitative Aptitude ( CCS) Mensuration 3D

A hemispherical bowl of internal radius 9 cm is full of liquid. This liquid is to be filled into cylindrical shaped small bottles each of diameter 3 cm and height 4 cm. How many bottles are necessary to empty the bowl?

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Explanation:

Given,
The internal radius of the hemispherical bowl = 9 cm
Volume of the hemisphere = (4/3)∏×r³
= (4/3)∏×9³………………………….(i)
Given,
Diameter of the cylindrical bottle = 3 cm
Radius = 3/2 cm = 1.5 cm
Volume of the cylinder = ∏×r²×h
=∏×1.5²×4 …………………..(ii)
Volume of the hemispherical bowl is equals to (n) multiplied by volume of the cylindrical bottles.
Now,
Comparing equations i and ii,
We get,
(4/3)∏×9³ =∏×1.5²×4
N= 54
54 cylindrical bottles are required to empty a hemispherical bowl.