A5/8-inch (inside) diameter garden hose is used to fill a round swimming pool 6.1 m in diameter. how long will it take to fill the pool to a depth of 1.4 m if water flows from the hose at a speed of 0.40 m/s?

To solve the problem it is necessary to apply the concepts related to Discharge. The flow rate is the amount of volume of a fluid that circulates in a given time

By definition it is represented as

Where,

v = Velocity

A = Area

However, as the name implies it can also be represented as

Where,

V = Volume

t = time

In our case we have the values of,

Therefore replacing all these data in the previous equation we have

It will take about 6 days to fill the pool.

= initial pressure

= final pressure = 2

= initial volume

= final volume = /4

= initial temperature = 20 c = 20 + 273 = 293 k

= final temperature = ?

using the equation