Taking 1 inch to be about 2.5cm, an inch of rain on an area of 1m2 is approximatley 0.025m3, or 25000cm3. That is 25000ml or 25l of water.
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12" x 12" x 1"= 144 cubic inches, which is equal to .623 gallons therefore a one thousand square foot roof receiving one inch of rain will catch 623 gallons.
The idea is to divide the number of inches of rain by the number of hours. That will give you the unit rain, in inches per hour.
Grammatically, "Does the rain" is correct. Rain may represent many individual rain drops, which is why "Do rain drops" would be correct, however rain represents it as a whole, so "Does the rain" is the appropriate form.
The proper slope for newly installed gutters is 1/4 inch of slope for every 10 feet of gutter. This slope keeps water from standing after a heavy rain.
It is singular. "The rain is falling." To be plural, the usage would be something like "the rain drops are." (rain would be an adjective)