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A cylindrical tank has a hole of diamete...

A cylindrical tank has a hole of diameter 2r in its bottom. The hole is covered wooden cylindrical block of diameter 4r, height h and density `rho//3`.

Situation I: Initially, the tank is filled with water of density `rho` to a height such that the height of water above the top of the block is `h_1` (measured from the top of the block).
Situation II: The water is removed from the tank to a height `h_2` (measured from the bottom of the block), as shown in the figure. The height `h_2` is smaller than h (height of the block) and thus the block is exposed to the atmosphere.
Find the height of the water level `h_2` (in situation 2), for which the block remains in its origin) position whithout the application of any external force

A

`h/3`

B

`4h/9`

C

`2h/3`

D

h

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