Published by:
CGP EDU Academic Team
Published on: August 13, 2026
An inverted conical tank of w m radius and 4m height is initially full of water, has an outlet at bottom. The outlet is opened at some instant. The rate of flow through the outlet at ny time t is 6h 3/2 , where h is height of water level above the outlet at time t. Then the time it takes to empty the tank, is -
A
units
B
units
C
units
D
None
Text Solution
Verified by ExpertsThe correct answer is:
A
Given that 
= 6h 3/2 ... (1)
At time 't', the volume of water in the tank is v = 
π r 2 h
Δ OAB and Δ OA'B' are similar
⇒ 
= 
⇒ 
= 
⇒ r = 
⇒ v = 
π 
⇒ h 3 = 
⇒ 
= 
⇒ 
= 
⇒ 
= 
t
⇒ 
= t = 
⇒ t = 
units.
Hence is the correct answer.
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