Final answer:
To convert the flow of water from 480 l/min through a 7.1-cm diameter hose to m³/s, the flow rate is calculated to be 0.008 m³/s after carrying out the necessary unit conversions.
Step-by-step explanation:
To find the flow rate in meters cubed per second (m³/s), we can start by converting the given flow rate from liters per minute to cubic meters per second. There are 1000 liters in a cubic meter, and there are 60 seconds in a minute. So:
Flow rate in m³/s = (480 L/min) × (1 m³/1000 L) × (1 min/60 s)
Flow rate in m³/s = 0.008 m³/s
Therefore, the flow rate of water through the 7.1-cm diameter hose is 0.008 m³/s.