Homework Help: Math

Posted by Maria on Tuesday, October 23, 2012 at 8:03am.

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)

Math - Reiny, Tuesday, October 23, 2012 at 9:44am
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

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