A cylindrical tank of height 0.4 m is open at the top and has a diameter 0.16 m. Water is filled in it up to a height of 0.16 m. how long it will take to empty the tank through a hole of radius 5×10 –3 m in its bottom.
Text Solution
Verified by ExpertsThe correct answer is:
A
A 1 v 1 = A 2 v 2
π R 2 dh/dt = π r 2 v....(i)
v = 
....(ii)
from equation (ii) put the value of v in equation (i)
−π R 2 dh/dt = π r 2 
⇒ – 
= 
– 
= 
on solving
t = 46.26 second.
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