A cylindrical tank is being filled with water. The tank
is initially empty but then water begins to flow into it
at a rate of 74.00 kg/min. There is a small hole of
radius r = 0.6000 cm at the bottom of the tank
where water can escape. Because the flow rate of
water leaving the hole is initially at a slower rate
than water entering the tank, the water level rises.
The average velocity of water leaving through the
hole at the bottom of the tank is not constant and is
a function of the height of the water level in the tank:
v = \sqrt{2gh}
where g is the gravitational constant of Earth, 9.81 m/s².
Additionally, the density of water at this temperature is
1.000 \times 10^3 kg/m³.
What is the maximum height of the water level in the tank, if it is initially empty?
Number
h = 6.03 m
If the radius of the tank is R = 0.3500 m, how long will it take the tank to reach 90.0% of this water level?
Number
t = 1.694 hr
Incorrect.
