A heavy rainstorm dumps 1.0 cm of rain on a city 5 km wide and 7...
A heavy rainstorm dumps 1.0 cm of rain on a city 5 km wide and 7 km long in a 2- h period. How many gallons of water fell on the city? (1 gal = 3.785 L .) Express your answer using one significant figure.
Homework Answers
The time (2h) is not needed.
The 'layer' of water has dimensions: 1cm x 5km x 7km
Pick a unit to work in. Probably its easiest to work in cm.
5km = 5000m = 500,000cm
7km = 7000m = 700,000cm
Volume of water = 1 x 500,000 x 700,000 = 3.5x10¹¹ cm³ = 3.5x108 L
= (3.5x108)/3.785 gal
= 9.25 x 107 gal.
To 1 sig. fig. this is 9x107 gal.
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