Civil Engineering - UPSC Civil Service Exam Questions - Discussion

27. 

A cylindrical vessel with a constant plane area of 1 m2 is rotated about its vertical axis such that the liquid inside the vessel is about to spill. If the height of the vessel is 2 m and the height of the paraboloid at 1 m, then the volume (in m3) of the liquid in the vessel will be

[A]. 2
[B]. 1.5
[C]. 1.0
[D]. 0.5

Answer: Option B

Explanation:

No answer description available for this question.

Rahul said: (Jan 5, 2017)  
Give explonation for the answer.

Lloyd P. said: (May 16, 2017)  
Vol(water) = Vol(cylinder) - Vol(paraboloid).
= πr^2h(cyl.) - [πr^2 h(par.) /2].

Since πr^2 = plane area of either Cylinder or Paraboloid = 1 m^2 ; h(cyl.) = 2m ; h(par,) = 1m.

Vol(water) = (1x2) - [(1x1)/2].
= 1.5 m^3.

Intazar Ahmad said: (Nov 19, 2018)  
Thanks @ Lloyd.

Boopesh said: (Dec 10, 2018)  
Thanks for explaining @Lloyd P.

Post your comments here:

Name *:

Email   : (optional)

» Your comments will be displayed only after manual approval.