SSC CGL 2022 PYQ — Question 68

SSC CGL - 13 April 2022 - Shift 1 • Quantitative Aptitude • Q68

A cylindrical vessel of diameter 32 cm is partially filled with water. A solid metallic sphere of radius 12 cm is dropped into it. what will be the increase in the level of water in the vessel ( in cm)?

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e. 9

The volume of the sphere = volume of water in the cylinder which will be shifted after dropping the sphere 

 4/3 πr³ = π r³ h ( where h = increase in the level of water )

4/3 (22/7) 123 = (22/7) 162 h

h = 9 cm