A hemispherical bowl of internal radius 18 cm is full of liquid. This liquid is to be filled in cylindrical bottles each of radius 3 cm and height 6 cm. How many bottles are
This questions was previously asked in
SSC CGL Tier II Paper 1 (03.03.2023)
Explanation:
- The internal radius of the hemispherical bowl is 18 cm.
- Volume of the hemisphere = (2/3)pr³ where r is the radius.
- For the bowl: Volume = (2/3)p(18)³ = 3888p cubic cm.
- Each cylindrical bottle has a radius of 3 cm and height of 6 cm.
- Volume of one bottle = pr²h where r is the radius and h is the height.
- For one bottle: Volume = p(3)²(6) = 54p cubic cm.
- To find the number of bottles, divide the volume of the hemisphere by the volume of one bottle.
- Total bottles = 3888p / 54p = 72.
Option 1: 72 is the correct answer.
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By: Parvesh Mehta