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Water flows through a pipe at a rate of 10 cubic feet per second. Express this rate of flow in cubic meters per hour. Round your answer to the nearest whole number.

Water flows through a pipe at a rate of 10 cubic feet per second. Express this rate-example-1

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Final answer:

To convert 10 cubic feet per second to cubic meters per hour, multiply by the conversion factor from cubic feet to cubic meters (0.0283168), then by the number of seconds in an hour (3600), and round to the nearest whole number. The final flow rate is 1019 cubic meters per hour.

Step-by-step explanation:

Water flows through a pipe at a rate of 10 cubic feet per second. To express this rate of flow in cubic meters per hour, we need to perform the following conversions:

  • First, convert cubic feet to cubic meters: 1 cubic foot = 0.0283168 cubic meters.
  • Multiply the flow rate by this conversion factor: 10 cubic feet/second × 0.0283168 cubic meters/cubic foot = 0.283168 cubic meters/second.
  • Then, convert seconds to hours: 1 hour = 3600 seconds.
  • Multiply the flow rate in cubic meters per second by the number of seconds in an hour: 0.283168 cubic meters/second × 3600 seconds/hour = 1019.4048 cubic meters/hour.

Rounding to the nearest whole number, the flow rate is therefore 1019 cubic meters per hour.

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