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A hemi-spherical tank of radius 2 m is i...

A hemi-spherical tank of radius 2 m is initially full of water and has an outlet of `12c m^2` cross-sectional area at the bottom. The outlet is opened at some instant. The flow through the outlet is according to the law `v(t)=0.6sqrt(2gh(t)),` where `v(t)` and `h(t)` are, respectively, the velocity of the flow through the outlet and the height of water level above the outlet and the height of water level above the outlet at time `t ,` and `g` is the acceleration due to gravity. Find the time it takes to empty the tank.

Text Solution

Verified by Experts

The correct Answer is:
`t=(7xx10^(5))/(135sqrtg)`
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Knowledge Check

  • When area of cross-section of a pipe decreases, the velocity of flow of liquid

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    B
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    C
    becomes zero
    D
    viscosity

  • If area of cross section of the pipe increases, the velocity of flow of the liquid

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    increases
    B
    decreases
    C
    remains the same
    D
    becomes zero

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