Afire hose 5 centimeters in diameter is used to fill a 225-liter bucket. if it takes 15 seconds to fill the bucket, what is the speed at

I believe you ask about speed at the end of the hose:

The volume of the bucket is 225 liters which is equal to 225 .

Hose's cross section can be counted with the typical circle's area formula (with diameter instead of radius, that's why you've got a fraction):


are filled within 15 second.

As the bucket is being filled you can say that it's volume is the volume of the water that flowed out of the hose, then:

The speed of the water can be counted with equation:

After extracting h from the volume's equation you get:

When you count the fraction you get the

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