the bottom of a rectangle swimming tank is 25 m by 40 m water is pumped into the tank - Maths - Application of Integrals

Question

the bottom of a rectangle swimming tank is 25 m by 40 m water is
pumped into the tank at the rate of 500 cubic meters per hour find
the rate at which the level of water in the tank is rising

Varun.Rawat · Accepted Answer

Let V be the volume and h be the height of the water inside the
tank at any instant t length, l = 25 m , breadth, b = 40 mVolume =
lbh = 1000h m3Now, dVdt = 500m3/hr V = 1000hDifferentiating both
sides with respect to t, ⇒dVdt=1000 dhdt⇒500 =
1000dhdt⇒dhdt = 0 5 m/hr

the bottom of a rectangle swimming tank is 25 m by 40 m. water is pumped into the tank at the rate of 500 cubic meters per hour.find the rate at which the level of water in the tank is rising.