question archive The snowfall from this snowstorm above covered most of IA, northern IL, northern IN, and southern MI

The snowfall from this snowstorm above covered most of IA, northern IL, northern IN, and southern MI

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The snowfall from this snowstorm above covered most of IA, northern IL, northern IN, and southern MI. While some locations in that swath saw over a foot of snow, let's assume the average depth of the snow over this area was 8 inches. If the total area covered by the 8 inch average depth was 72,150 square miles, what percentage of the volume of the Grand Canyon would this amount of snow fill?

 

Information you need:

Area of snow cover: 72,150 miles2

Average depth of the snow over this region: 8 inches

 

Volume of the Grand Canyon: 4.166 x 1012 m3

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volume of snow [m3], Vs = Area (A) * Depth (D)

 

Vs = 72.150 × 8

Vs = 577.200 m3

 

Volume of the Grand Canyon: 4.166 x 10^12 m3 = 100%

 

% snowfall = 577.200 m3 × 100 / 4.166x10^12 m3

% snowfall = 0.138 × 10^19 %