There is a bucket with a mouth area of 190cm^2 that is collecting rainfall. It collects 950ml of rainfall in one hour. What is the rainfall rate?

How do I set this up?

To set up this problem, you need to convert the measurements to a consistent unit before calculating the rainfall rate.

1. Convert the bucket's mouth area from square centimeters to square meters.
- Since 1 cm^2 = 0.0001 m^2, divide the mouth area by 10000 to get it in square meters.

Mouth area (in square meters) = 190 cm^2 ÷ 10000 = 0.019 m^2

2. Convert the collected rainfall volume from milliliters to cubic meters.
- Since 1 mL = 0.000001 m^3, divide the volume by 1,000,000 to get it in cubic meters.

Collected rainfall volume (in cubic meters) = 950 mL ÷ 1,000,000 = 0.00095 m^3

3. Calculate the rainfall rate by dividing the collected volume by the mouth area and the time.
- The rainfall rate is given in volume per unit area per unit time.

Rainfall rate (in m/h) = Collected volume (in m^3) ÷ Mouth area (in m^2) ÷ Time (in hours)

Plug in the values:

Rainfall rate = 0.00095 m^3 ÷ 0.019 m^2 ÷ 1 hour = 0.05 m/h

Therefore, the rainfall rate is 0.05 meters per hour.