Question

Water is discharged from a pipe of cross-section area 2.7 sq. cm. at the rate of
36 km/h. Calculate, in litres, the volume of water which flows from the pipe in one
minute.​

Answer 1

162 Litres of water flow through pipe in one minute.

Step-by-step explanation:

• Given data

        Area of cross- section (A) = 2.7 cm²      ...1)

        $\mathbf{Flow\ rate\ of\ water(\dot{Q})= 36 \ \frac{km}{h}}$

• Flow rate of water can also be written as metre per minute

        $\mathbf{Flow\ rate\ of\ water(\dot{Q})= \frac{36\times 1000}{60}=600 \ \frac{m}{min}}$

• Again flow rate of water can also be written as centimetre per minute

        $\mathbf{Flow\ rate\ of\ water(\dot{Q})= 600\times 100 =60000 \ \frac{cm}{min}}$      ...2)

• Volume of water flows from pipe can be calculated by

        $\mathbf{Volume\ of\ water = \dot{Q}\times A}$

• Putting respective value in above equation

        $\mathbf{Volume\ of\ water = 60000\times 2.7 \ \frac{cm}{min}\times cm^{2}}$

        $\mathbf{Volume\ of\ water = 162000 \ \frac{cm^{3}}{min}}$      ...3)

• It means 162000 cm³ of ware flow in pipe in one minute.

• We also know that

        1000 cm³ = 1 Litre

• So equation 3) can be written as

• $\mathbf{Volume\ of\ water = 162000 \ \frac{cm^{3}}{min}=162 \ \frac{L}{min}}$= This is answer.

• It means 162 litres of ware flow in pipe in one minute.

Answer 2

Answer:

Area of cross- section (A) = 2.7 cm² ...1)

\mathbf{Flow\ rate\ of\ water(\dot{Q})= 36 \ \frac{km}{h}}Flow rate of water(

Q

˙

)=36

h

km