Question

Water pours out rate of Q from a tap, into a cylindrical vessel of radius r. The rate at which the height of water level rises the height is h, is
A. `Q/(pirh)`
B. `Q/(pir^(2))`
C. `Q/(2pir^(2))`
D. `Q/(pir^(2)h)`

Answer 1

Correct Answer - B

`:.` Volume: `V=pir^(2)h :. (dV)/(dt)=pir^(2)(dh)/(dt)` But `(dV)/(dt)=Q` so `(dh)/(dt)=Q/(pir^(2))`