Question

A rectangular tank is 80 m long and 25 m broad. Water flows into it through a pipe whose cross-section is 25 cm² , at the rate of 16 km per hour. How much the level of the water rises in the tank in 45 minutes.

Answer 1

Let the level of water be risen by h cm. 

Then,

Volume of water in the tank = 8000 x 2500 x hcm²

Area of cross – section of the pipe = 25 cm²

Water coming out of the pipe forms a cuboid of base area 25 cm² and length equal to the distance travelled in 45 minutes with the speed 16 km/hour.

length = 16000 x 100 x 45/60 cm

Volume of water coming out of pipe in 45 minutes

= 25 x 16000 x 100(45/60)

Now, volume of water in the tank = volume of water coming out of the pipe in 45 minutes