Let h be the water level in the cylindrical tank at time t minutes.
Radius of the cylinder, r = 2 ft
∴ Volume of the water in the cylindrical tank at time t, V = =
Differentiating both sides with respect to t, we get
Now,
= 8 cubic feet/minute (Given)
ft/min
Thus, the water level in the tank is rising at the rate of feet/minute.
Water is flowing into a vertical cylindrical tank of radius 2 ft at the rate of 8 cubic/minute. The rate at which the water level is rising, is .