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Water pours out at the rate of Q from a ...

Water pours out at the rate of Q from a tap, into a cylindrical vessel of radius r. Find the rate at which the height of water level rises when the height is h.

A

`Q/(pirh)`

B

`Q/(pir^(2))`

C

`Q/(2pir^(2))`

D

`Q/(pir^(2)h)`

Text Solution

Verified by Experts

The correct Answer is:
B

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