Aspherical tank (radius r) is initially completely filled with water. at the bottom of the tank a small opening is made to empty the tank (diameter d). the diameter of the exiting jet is equal to the hole diameter d (see the figure for a schematic picture of this tank). the flow can be considered steady, incompressible and inviscid. a vent at the top of the tank ensures atmospheric pressure in the tank a) draw the streamlines in the exiting jet and use this to explain what the pressure must be in the exiting jet b) show that the relationship between r(t), h(t) and r, is given by r(t)=(2h(t)r -h( c) derive the equation for the velocity of the exiting jet (assume r d) d) find the equation to describe the height of the water level h as function of time t, h(t). if it is easier to express time as a function of height t(h), (which is mathematically the same), that is also allowed e) if the the tank radius is r = 1 m and the hole diameter d = 1 cm, how much time will it take to empty the complete tank? po r(t) r gg h(t) spherical tank with its relevant dimensions