The height to which a cylindrical vessel be filled with a homogeneous liquid, to make the average force with which the liquid presses the side of the vessel equal to the force exerted by the liquid on the bottom of the vessel, is equal to

A nurse measures the blood pressure of a seated patient to be $190 \,mm$ of $Hg$.

The atmospheric pressure and height of barometer column is $10^5\,Pa$ and $760\,mm$ respectively on the Earth surface. If the barometer is taken to the Moon then column height will be ........ $mm$

A liquid $X$ of density $3.36\  g/cm^3$ is poured in a $U-$ tube, which contains $Hg$. Another liquid $Y$ is poured in left arm with height $8\  cm$, upper levels of $X$ and $Y$ are same. What is density of $Y$ .......... $g/cc$

Toricelli’s barometer used mercury. Pascal duplicated it using French wine of density $984 \;kg m^{-3}$. Determine the height (in $m$) of the wine column for normal atmospheric pressure.

The density of the atmosphere is $1.29\, kg/m^3$, then how high would the atmosphere extend ? $(g = 9.81\, m/sec^2)$ ........ $km$