a shape finding method

I was playing with my hand sanitiser liquid some minutes ago. It is a very viscous liquid. Now as we all know on a rotating motion of a liquid column inside a cylindrical pot liquid takes paraboloid shape. So I gave the liquid vigourous rotations about its axis and it got a likewise shape. Now I think for a unknown liquid it may be a process to find the density of the liquid. Actually the problem arises here . how will viscosity come into the calculation. I think the great physicists present in brilliant will show some light on my query. However I am adding a picture. Though its not.the actual shape

. however from these I got a further thought. What will be the time of regaining the most stable shape? Provided bottle is in horizontal or vertical positions respectively. Again a thought came in. What should be the expressions for minimum admissible height of a liquid having a hole on the floor of the pot and considering it viscous. I Hope People will love To show their calculations.

#Mechanics

Easy Math Editor

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Math	Appears as
Remember to wrap math in `\(` ... `\)` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$