Question

Hydraulic engineers in the united states often use, as a unit of volume of water, the acre-foot, defined as the volume of water that will cover 1 acre of land to a depth of 1 ft. a severe thunderstorm dumped 2.0 in. of rain in 30 min on a town of area 26 km2.what volume of water, in acre-feet, fell on the town?

Answer 1

The acre-foot is defined as the volume of water that will cover one acre ofland to a depth of one foot.
One acre is equal to 43650 square feet. One foot is equal to 12 inches. The thunderstorm caused2 inches of rain to fallon a town with area 45 square kilometer.
One square kilometeris equal tosquare meter. One square meter is equal tosquare feet = 10.7639square feet.
45 square kilometer is equal to 45*10^6*10.7639 or 484.376*10^6 square feet.
The volume of water that fell on the town is equal to 484.376*10^6/43560*(2/12) = 1853.29 acrefeet.
The volume of water that fell during the thunderstorm in acre-feet is 1853.29.

Answer 2

The given question is Hydraulic engineers in the united states often use, as a unit of volume of water, the acre-foot, defined as the volume of water that will cover 1 acre of land to a depth of 1 ft. a severe thunderstorm dumped 2.0 in. of rain in 30 min on a town or area 26 km2.

we have to find what volume of water, in acre-feet, fell on the town.

The volume of water that will cover one acre of land to a depth of one foot is called the acre-feet.

one acre is equal to forth three thousand six hundred and fifty square feet.

one foot is equal to 12 inches.

It is given that the thunderstorm caused 2 inches of rain to fall on a town with an area of 45 Square kilometres.

one square kilometre is equal to one square foot = 10.7639 square feet.

Hence 45 Square kilometres is equal to

$45 \times {10}^{6} \times 10.7639 \: square \: feet$

the above value is also equal to

$484 .376 \times {10}^{6}$

The volume of water that fell on the town is equal to

$( \frac{484.376 \times {10}^{6} }{43560 \times \frac{2}{12} } ) = 1853.29 \: acrefeet$

The volume of water that fell on the town during the storm is 1853.29

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