Is the Answer Correct? Dipping a Cylinder w/ Small Hole in Liquid

[dk_ch]

An empty cylindrical vessel with a small circular hole of radius r at the bottom is dipped vertically in a liquid of density d keeping the bottom downward. At what maximum depth can it be dipped before the liquid enters into it? The surface tension of the liquid is S. The answer given in the text is √(2S/rdg). Is the answer correct?

 

[sankalpmittal]

An empty cylindrical vessel with a small circular hole of radius r at the bottom is dipped vertically in a liquid of density d keeping the bottom downward. At what maximum depth can it be dipped before the liquid enters into it? The surface tension of the liquid is S. The answer given in the text is √(2S/rdg). Is the answer correct?

It seems correct to me.

 

[dk_ch]

It seems correct to me.

Sir will u please explain How?
How does square root arise here?

 

[sankalpmittal]

Sir will u please explain How?
How does square root arise here?

Square root. Then it is wrong. Please check the dimensions. Dimensions are consistent if there were no square root.