Civil Engineering - UPSC Civil Service Exam Questions - Discussion
Discussion Forum : UPSC Civil Service Exam Questions - Section 2 (Q.No. 27)
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
Discussion:
4 comments Page 1 of 1.
Boopesh said:
6 years ago
Thanks for explaining @Lloyd P.
Intazar Ahmad said:
6 years ago
Thanks @ Lloyd.
Lloyd P. said:
8 years ago
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.
= 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.
(1)
Rahul said:
8 years ago
Give explonation for the answer.
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