Explanation:
To find out how many liters of water flows through a pipe with a diameter of 10 cm when water flows at the rate of 1.5 m/s and 3 minutes have passed, you need to follow the steps below:
Step 1: Find the area of the pipe.
Area = πr² = π(5cm)² = 78.54 cm².Step 2: Convert the flow rate into cm³/s.
Flow rate = 1.5 m/s = 150 cm/s
Volume = Area × velocity = 78.54 × 150 = 11781 cm³/s.Step 3: Find the volume of water that flows through the pipe in 3 minutes.
Time = 3 minutes = 180 seconds
Volume = Flow rate × time = 11781 × 180 = 2,120,580 cm³.Step 4: Convert the volume into liters.
1 liter = 1000 cm³
Volume in liters = 2,120,580 cm³ ÷ 1000 = 2120.58 liters.Therefore, approximately 2120.58 liters of water flow through the pipe with a diameter of 10 cm when water flows at the rate of 1.5 m/s and 3 minutes have passed.