Water flows through a pipe at a rate of 6300 liters every 8.5 months. Express this rate of flow in cubic feet per hour. Round your answer to the nearest hundredth.

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Answer:

0.04

Step-by-step explanation:

[tex] \dfrac{6300~L}{8.5~month} \times \dfrac{1000~cm^3}{1~Liter} \times \dfrac{1~ft^3}{(30.48~cm)^3} \times \dfrac{12~months}{1~year} \times \dfrac{1~year}{365.25~days} \times \dfrac{1~day}{24~hours} \times \dfrac{1~day}{24~hours} = [/tex]

[tex]= 0.04 \dfrac{ft^3}{hour}[/tex]

The value of the flow rate in cubic feet per hour is 0.04.

What is the rate of flow?

The rate of the flow of the fluid is defined as the volume of the fluid flowing through the cross-section per unit of time. The unit of the flow rate is cubic feet per hour or cubic meter per hour etc.

Given that water flows through a pipe at a rate of 6300 liters every 8.5 months. Then the flow rate in cubic feet per hour will be calculated as below:-

1 litre = 0.0353 cubic feet

6300 litres = 6300 x 0.0353

6300 litres = 222.4 cubic feet

1 month = 730 hours

8.5 months = 6205 hours

The rate of flow in cubic per hour will be:-

Rate of flow = 222.4 / 6205 = 0.04 cubic feet per hour

Therefore, the value of the flow rate in cubic feet per hour is 0.04.

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