What is the rate at which water is being pumped into the tank in cubic centimeters per minute, If the water level is rising at a rate of 19 centimeters per minute when the height of the water is 4.0?
Water is leaking out of an inverted conical tank at a rate of 7400 cubic centimeters per minute at the same time that water is being pumped into the tank at a constant rate. The tank has height 9 meters and the diameter at the top is 4.0meters. If the water level is rising at a rate of 19 centimeters per minute when the height of the water is 4.0
find the rate at which water is being pumped into the tank in cubic centimeters per minute.
Water is leaking out of an inverted conical tank at a rate of 7400 cubic centimeters per minute at the same time that water is being pumped into the tank at a constant rate. The tank has height 9 meters and the diameter at the top is 4.0meters. If the water level is rising at a rate of 19 centimeters per minute when the height of the water is 4.0
find the rate at which water is being pumped into the tank in cubic centimeters per minute.
1 Answer
Explanation:
Let
At any instant of time
Differentiating the volume
Above expression shows that net rate of filling the tank is
Now, setting
Now, the total rate of pumping the water into the tank