A fire hose has a circular cross-section which has a diameter of 20 cm. The hose is full of water and the water in the hose is flowing at a speed of 5m/s.

How many liters of water can flow from the hose in 1 minute? (1m^3 = 1000 L)

1 answer

Area of a cross-section is
π(10)^2 = 100π cm^2

5 m = 500 cm
So a volume of 100π(500) or 50000π cm^3 flows every second
or 50000π/1000 L will flow every second
flow is 50π L/sec

so in 1 minute 60(50π) or 3000π L will flow