Can anyone answer these physics questions?

Question

1) A water hose 1.84cm in diameter is used to fill a 22.1 L bucket.
One liter is equal to 1000cm^3
If it takes 1.41 min to fill the bucket, what is the speed at which the water leaves the hose? Answer in units of cm/s.

2) A natural gas pipeline with a diameter of .244m delivers 2.09m^3 of gas per second. What is the flow speed of the gas? Answer in units of m/s.

Thanks for any help!

Answer 1

1) the rate of flow of the water out of the end of the hose is 22.1*1000 cm^3 / (1.41*60) sec, or (using a calculator),
261.2293 cm^3/sec

If the diameter of the hose is 1.84 cm, then the radius is .97 cm, and the area is .97^2 * pi, or 2.9559 cm^2
So the speed of water coming out of the hose is

261.2993 cm^3/sec/2..9559 cm^2 = 88 cm/sec

2) this one is even easier, because we already know the rate of flow. I'll let you work out the numbers, but compute the radius as half the diameter. Then compute the area of the pipe's opening, as pi*r^2.
The speed of flow is 2.09m^2/s divided by the area.