A cylindrical vessel with closed ends, radius $0\mathrm{.}3$ m$,$ length $0\mathrm{.}6$ m$,$ is full of water and rotates with its axis vertical. The vessel is connected through a centrally placed gland in its base through a pipe to a reservoir in which the water level is $3\mathrm{.}0$ m above the base of the cylinder. The cylinder, complete with water, is forced to rotate at a steady speed of $240$ rev$/$min$.$ Calculate the static pressure in kN$/$m$2$ at the top of the cylinder at a radius of $0\mathrm{.}3$ m and the total upthrust on the lid.