Rain to Snow Calculator

Estimate how much snow a given amount of rain becomes, based on air temperature.

Everyday Temperature-banded NOAA ratios
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Rain to Snow Calculator

NOAA / NWS snow:water ratios · 5:1 to 30:1

Instructions — Rain to Snow Calculator

1

Enter the rainfall amount

Type the liquid precipitation in inches or centimetres. This is the depth a rain gauge would record, also called liquid equivalent. A typical winter storm drops 0.1 to 1.0 inch of liquid; a major event can pass 2 inches. The toggle switches between in and cm and converts the current value automatically.

2

Set the surface temperature

Air temperature is the strongest single driver of the snow:water ratio. NOAA bands run from 5:1 above 32 degrees F (wet sleety snow) to 20:1 around 0 degrees F (dry powder) and up to 30:1 below -10 degrees F (ultra-fluff). The Fahrenheit/Celsius toggle preserves the value while switching units.

3

Read the snow depth and ratio

The headline shows snow depth in your selected length unit. The ratio panel shows which NOAA band you are in (5:1, 10:1, 12:1, 15:1, 20:1, 25:1, 30:1) and the snow type label (wet, average, dendritic, powder, ultra-fluff). The detail row notes that ratios shift mid-storm and that wind compacts surface accumulation by 10 to 30%.

The 10:1 rule is old: NOAA studies covering 1971-2000 find a US-wide mean closer to 13:1. Mountain regions average 15:1; the Southeast averages 8:1. Use the temperature band for a better estimate.
SWE matters more than depth: Snow Water Equivalent (SWE) is the rain depth that the snowpack contains. Hydrologists track SWE because it determines spring runoff, not how deep the snow looks.

Formulas

Snow depth is the product of liquid rainfall and a temperature-dependent ratio. NOAA published the modern US climatology of snow:water ratios in 2005, replacing the 10:1 rule of thumb with a banded model.

Snow depth from rainfall
$$ D_{snow} = R_{liquid} \times SR $$
D_snow is snow depth, R_liquid is liquid rainfall, SR is the snow:water ratio. 1 inch of rain at 20 F (SR = 12) yields 12 inches of snow. SR is unitless and temperature-driven.
Snow Water Equivalent
$$ SWE = \frac{D_{snow}}{SR} $$
SWE is the liquid water trapped in the snowpack. A 10-inch snow at 12:1 has 0.83 inch SWE. Hydrologists monitor SWE because spring melt is what matters for water supply.
Snow density
$$ \rho_{snow} = \frac{\rho_{water}}{SR} $$
Fresh snow density ranges from 50 kg/m^3 (30:1 powder) to 500 kg/m^3 (sleet near freezing). Water is 1000 kg/m^3. Density rises with compaction and age.
Inches to centimetres
$$ x_{cm} = x_{in} \times 2.54 $$
Exact by definition of the international inch (1959). 1 inch of snow = 2.54 cm. Rainfall and snowfall both follow the same conversion.
Fahrenheit to Celsius
$$ T_{C} = (T_{F} - 32) \times \frac{5}{9} $$
32 F = 0 C is the freezing point of water. 20 F = -6.7 C is the dendritic growth zone where the prettiest snow crystals form.
Ratio interpolation
$$ SR = a - b \times T_{F} $$
A linear fit (a and b are empirical constants) gives a smooth ratio across the band edges. NOAA uses banded lookups; the continuous fit is convenient for spreadsheet modelling.

Reference

NOAA / NWS snow:water ratio by surface temperature
TemperatureRatioSnow typeDensity (kg/m^3)
34 F / 1 C5:1Wet, sleety300-500
28 F / -2 C8:1Wet, sticky200-300
20 F / -7 C12:1Average100-200
15 F / -9 C15:1Dendritic80-120
0 F / -18 C20:1Dry powder50-80
-10 F / -23 C25:1Very dry40-60
-20 F / -29 C30:1Ultra-fluff30-50

Snow depth from 1 inch of rain

Liquid in → snow
Temp1 in rain → snow
34 F5 in
28 F8 in
20 F12 in
10 F15 in
0 F20 in
Liquid cm → snow cm
Temp1 cm rain → snow
1 C5 cm
-2 C8 cm
-7 C12 cm
-12 C15 cm
-18 C20 cm

Source: Roebber et al., "Improving Snowfall Forecasting by Diagnosing Snow Density," Weather and Forecasting (2003); NOAA / National Weather Service climatology.

Article — Rain to Snow Calculator

Rain to Snow Calculator: Convert Rainfall to Snow Depth

A rain to snow calculator converts liquid rainfall into the equivalent snow depth by applying a temperature-dependent ratio. NOAA bands run from 5:1 wet snow near 32 degrees F to 30:1 powder below -20 degrees F, with 10:1 to 15:1 for typical winter storms. The Roebber et al. study in Weather and Forecasting (2003, 2005) replaced the old 10:1 rule of thumb with this banded model after analysing 28,000 station records.

Enter your rainfall in inches or centimetres, set the surface air temperature in Fahrenheit or Celsius, and the calculator returns snow depth, the applicable NOAA ratio band, and the snow type label (wet, average, dendritic, powder, ultra-fluff). Results are estimates; mid-storm temperature shifts and wind compaction routinely push real accumulation 10 to 30 percent in either direction.

How the rain to snow calculator works

This rain to snow calculator looks up the temperature you enter against the NOAA / National Weather Service ratio table, multiplies that ratio by the rainfall, and reports the snow depth in your selected length unit. The temperature input drives the entire result; rainfall is just a multiplier. Switching the rainfall unit converts the existing value automatically so you do not have to recompute.

The ratio bands are coarse on purpose. Snow:water ratio depends on more than surface temperature, but air temperature dominates the variance enough that a banded lookup matches the published climatology within a few inches. For research-grade forecasting, NOAA WPC uses additional inputs like vertical temperature profiles, relative humidity, and supercooled liquid content from numerical models.

Did you know

Mount Baker Ski Area in Washington holds the world record for seasonal snowfall: 1,140 inches (28.96 m) in 1998-1999. The accumulated snow water equivalent at peak was about 95 inches, suggesting a season-average snow:water ratio near 12:1. The next-deepest reliably measured year is the 1971-1972 season at Rainier Paradise (1,122 inches).

The snow to water ratio explained

The snow to water ratio (SR) is the ratio of fresh snow depth to the liquid water that produced it. A 10:1 ratio means 10 inches of snow contain 1 inch of liquid water. The ratio is unitless and varies with snow density: light, dry crystals pile up loosely (high ratio); heavy, partially-melted flakes compact tightly (low ratio). NOAA reports ratios in the 5:1 to 30:1 range for normal precipitation, with extremes at either end.

Snow Water Equivalent (SWE) is the inverse view: how much liquid water is locked in the snowpack. SWE matters for water-supply forecasting because spring runoff depends on the liquid content, not the visible snow depth. The NRCS SNOTEL network measures SWE at hundreds of mountain stations across the western US to forecast irrigation supply for the warm season.

Temperature bands for rain to snow

At temperatures above 32 degrees F, falling snow partially melts before reaching the ground, producing a wet, sticky snow with a low 5:1 ratio. Between 25 and 32 degrees, the snow holds together better but still contains liquid water (8:1). The 15 to 25 degree band is the most common winter-storm regime in the contiguous US, producing classical dendritic crystals at 12:1 to 15:1.

NOAA / NWS snow:water ratio bands
32+ F 5:1 wet
28-32 F 8:1 sticky
20-28 F 12:1 average
10-20 F 15:1 dendritic
0-10 F 20:1 powder
-10 to 0 F 25:1 very dry
below -10 F 30:1 ultra-fluff

Wet snow vs dry powder conversion

Wet snow forms when air temperature is close to or above freezing. The crystals are partially melted and refrozen, with high liquid content and density around 300 to 500 kg/m^3. One inch of rain at this regime makes only 5 inches of snow. Wet snow is the kind that breaks tree limbs and downs power lines because it weighs 6 to 10 times more per inch than powder.

Dry powder forms below 15 degrees F in the dendritic growth zone where six-pointed crystals develop with maximum air space between them. Density falls to 50 to 100 kg/m^3, and the ratio climbs to 15:1 or higher. Ski resorts in the Wasatch (Utah) and the Colorado Rockies are famous for this snow; the same inch of rain that would make 5 inches of wet snow at 30 F makes 15 inches of powder at 10 F.

Snow water equivalent and hydrology

SWE is the metric hydrologists care about. A deep but airy snowpack holds little water; a shallow, dense snowpack holds a lot. NOAA NOHRSC produces daily SWE maps for the contiguous US based on remote sensing and ground stations. The 1 April SWE in the Sierra Nevada has been the most-watched water-supply number in California for decades because it determines summer irrigation deliveries.

Snow depth lies, SWE does not

Two storms can deposit the same SWE but very different visible snow depths. A 1-inch SWE event at 10 F deposits 15 inches of powder; the same SWE at 30 F deposits 5 inches of slush. For driving conditions and road clearance, snow depth matters; for water supply, drought forecasting, and avalanche analysis, only SWE does.

Regional rain to snow ratio differences

Average snow:water ratios vary by region. The Southeast US runs 8:1 to 9:1 because winter air stays close to freezing. The Northeast averages 11:1 to 13:1. The Upper Midwest runs 13:1 to 15:1 in colder winters. Colorado, Utah, and Wyoming average 15:1 to 17:1, with frequent 20:1 events at altitude. Interior Alaska can sustain 25:1 or higher for weeks at a time in January.

Lake-effect snow over the Great Lakes is its own regime. Warm lake water (40 to 50 degrees F in early winter) evaporates into very cold incoming air, creating intense localised bands that drop 1 to 3 inches of snow per hour. Ratios in lake-effect bands run 8:1 to 15:1 depending on how cold the upper-level flow is.

Why the 10 to 1 rule is outdated

The 10:1 rule (1 inch of liquid water makes 10 inches of snow) dates to early 20th-century US Weather Bureau practice (often attributed to George Hellman). Forecasters used it because it was easy. Roebber, Bruening, Schultz, and Cortinas analysed 28,000 station-day records in their 2003 Weather and Forecasting paper and found that the actual US-wide mean is closer to 13:1, with the regional variance described above. NOAA now uses the banded temperature model for operational forecasting.

  • 10:1 rule = old rule of thumb, no longer used operationally
  • 13:1 = modern US-wide mean snow:water ratio
  • 5:1 = wet snow near 32 F (breaks tree limbs)
  • 30:1 = ultra-fluff in interior Alaska or northern Rockies
  • Mount Baker holds the seasonal record: 1,140 in (28.96 m) in 1998-99
  • Density range = 50 to 500 kg/m^3 (10x variation)
  • Roebber 2003 paper established the temperature-banded model
  • Wind compaction reduces measured depth 10 to 30 percent

Common rain to snow conversion mistakes

The most frequent error is applying the 10:1 rule everywhere. The 10:1 ratio is reasonable for the eastern US in moderate cold but underestimates Rocky Mountain snowfall by 30 to 50 percent and overestimates Gulf Coast snowfall by similar amounts. Use the temperature band instead.

The second mistake is ignoring storm-internal temperature shifts. A storm that begins at 25 degrees F and warms to 33 produces a layered snowpack: dry powder on the bottom, wet snow on top, and the overall ratio falls somewhere between the band predictions. The calculator above uses surface temperature as a single proxy; for research applications you would integrate the ratio along the storm timeline.

The third mistake is forgetting wind. NWS snow gauges and Doppler-radar accumulation estimates assume relatively still air. A 20-mph wind during a storm compacts surface snow by 15 to 25 percent and drifts the rest, so on-the-ground measurements vary widely across small distances. Official observers measure on level boards in sheltered locations to control for wind.

FAQ

It depends on temperature; the average across the contiguous US is about 13 inches, not the old 10:1 rule. At 32 degrees F the ratio is closer to 5:1 (5 inches of wet snow); at 20 degrees F it is about 12:1 (12 inches); at 0 degrees F it can reach 20:1. NOAA published the modern climatology in Weather and Forecasting (2005).
The snow:water ratio (SR) is how many inches of snow you get per inch of liquid water that falls. Wet snow near freezing has a low ratio (3:1 to 5:1) and a high density. Dry powder at very cold temperatures has a high ratio (20:1 to 30:1) and a low density. The ratio is temperature-dependent and varies by storm and by region.
Colder air produces drier crystals with more trapped air, so the same liquid water spreads into more snow volume. The dendritic growth zone around -12 to -18 C (10 to 0 F) yields the classic six-pointed crystals that pile up loosely. Near freezing, partial melting collapses crystals and the snowpack is denser and shallower.
SWE stands for Snow Water Equivalent: the depth of liquid water that a snowpack contains if you melted it. A 12-inch snowfall at 12:1 has 1.0 inch of SWE. Hydrologists track SWE for water-supply forecasting; NRCS SNOTEL stations report SWE across the western US. SWE matters more than snow depth for flood and drought prediction.
No, 10:1 is a 19th-century rule of thumb that NOAA superseded with a temperature-banded model in 2005. The Roebber et al. study analysed 28,000 station records and found a US-wide mean closer to 13:1, with regional means from 8:1 (Southeast) to 15:1 (Rockies). The 10:1 figure works only as a rough first estimate near the average.
Wind compacts snow and redistributes it, reducing measured depth by 10 to 30% compared to a windless calibration. The compacted snowpack still has the same SWE but a lower height. Drifting also concentrates snow in lee areas. Official NWS observers shield gauges and measure on level boards to control for wind.
Ratios above 40:1 have been documented in extreme cold under low wind, mostly in Antarctica and interior Alaska. A 1989 storm at Cripple, Alaska, recorded 47:1. Most populated areas of the US rarely exceed 25:1. Below -20 F the dendrites cannot grow large, so ratios plateau around 30:1 to 35:1.
Yes: divide your measured snow depth by the temperature-appropriate ratio. 12 inches of snow at 20 F divided by SR = 12 equals 1.0 inch of liquid water. Be cautious when the snowpack has settled or partly melted, since the on-the-ground ratio drifts up as the pack ages. Fresh snow gives the cleanest conversion.