Underground water is being pumped into a pool whose cross section is 3 m × 4 m while water is discharged through a 5-cm-diameter orifice at a constant average velocity of 5 m/s. If the water level in the pool rises at a rate of 1.5 cm/min, determine the rate at which water is supplied to the pool, in m3/s.

Step 1 </p>

Consider a pool has cross section 3m4m, the underground water is pumped in the pool and there is a discharge of water through an orifice.

The water is discharging from the pool through an orifice . The rate of of discharge of volume of water through the orifice is

Step 2</p>

Cross sectional area of the pool is (3m4m)

The rate of rise of water level in the pool is

The rate of water accumulation in the pool is nothing but the cross sectional area of pool times the the rate of water level rise