Question

Water flows through a 3cm diameter pipe at the rate of 3 metre/second. How many water flows through the pipe in one second and express the flow of water as a rate in litre/minutes

Answer 1

Given,

Diameter of the pipe = 3 cm

Flow rate of the water = 3m/sec

To find,

The amount of water that flows through the pipe in one second and the flow of water in the unit of litre/minute.

Solution,

We can easily solve this mathematical problem by the following mathematical formula.

Q = Av

Here,

Q = Flow rate of liquid

A = Area of the pipe channel

v = Velocity of the water flow

Now, we need calculate the value of "A",

A = π × (3/2)² = 22/7 × (1.5)² = 22/7 × 2.25 = 7.07 cm²

v = 3 metres per second = 300 centimetres per second

So,

Flow rate (Q) = 7.07 × 300 = 2121 cm³/second

Now,

Flow of water :

In 1 second = 2121 cm³

In 1 second = 2.121 litres

In 60 seconds = 2.121 × 60 litres

In 1 minute = 127.26 litres

Hence, 2121 cm³ of water will flow through the pipe in one second and the flow of water in litre per minute unit is 127.26 litre/min

Answer 2

Answer:

Step-by-step explanation:

Given,

Diameter of the pipe = 3 cm

Flow rate of the water = 3m/sec

To find,

The amount of water that flows through the pipe in one second and the flow of water in the unit of litre/minute.

Solution,

We can easily solve this mathematical problem by the following mathematical formula.

Q = Av

Here,

Q = Flow rate of liquid

A = Area of the pipe channel

v = Velocity of the water flow

Now, we need calculate the value of "A",

A = π × (3/2)² = 22/7 × (1.5)² = 22/7 × 2.25 = 7.07 cm²

v = 3 metres per second = 300 centimetres per second

So,

Flow rate (Q) = 7.07 × 300 = 2121 cm³/second

Now,

Flow of water :

In 1 second = 2121 cm³

In 1 second = 2.121 litres

In 60 seconds = 2.121 × 60 litres

In 1 minute = 127.26 litres

Hence, 2121 cm³ of water will flow through the pipe in one second and the flow of water in litre per minute unit is 127.26 litre/min