Water is flowing at the rate of 6 km/hr through a pipe of diameter 14 cm into a rectangular tank which is 60 m long and 22 m wide. Determine the time in which the level of water in the tank will rise by 7 cm.

Question

Philoid · Accepted Answer

Given,

Speed of the water flowing through the pipe, H = 6 km/hr

= cm/s

Diameter of the pipe = 14 cm

Radius (R) of pipe = = 7 cm

Length (l) of the rectangular tank = 60 m = 6000 cm,

Breadth (b) of the rectangular tank = 22 m = 2200 cm and

Height (h) or Rise in the level of water in the tank = 7 cm

Now,

Volume of the water in rectangular tank = l × b × h = 6000 x 2200 x 7 = 92400000cm3

Also,

Volume of the water flowing through the pipe in 1 s = πR²H

= cm³

So,

The time taken to rise the water =

cm³

= 92400 x = 3600s = 1 hr

So,

In 1 hour time the level of water in the tank will rise by 7cm.