Question

Experts estimate that when levees break in the aftermath of a hurricane, water can flow into a city at a peak rate of 8 billion gallons per
day. There are 7.5 gallons in 1 cubic foot.


Use this information to complete parts (a) and (b) below.


(A) find the flow rate in units of cubic feet per second, compare this flow rate to a river with an average flow rate of 30,000cfs.


— the flow rate is ___ cfs, which is approximately ___% if the flow rate of river.


(B) the water level rose approximately ___ ft.

Answer 1

Full question:

Experts estimate that when levees break in the aftermath of a hurricane, water can flow into a city at a peak rate of 8 billion gallons per day. There are 7.5 gallons in 1 cubic foot. Use this information to complete parts (a) and (b) below. Click the loon to view the USCS measurements a. Find the flow rate in units of cubic feet per second (cs). Compare this flow rate to a river with an average flow rate of 30,000 cfs. The flow rate is cfs, which is approximately % of the flow rate of the river (Round to the nearest whole number as needed.) b. Assume that the flooded part of the city had an area of 8 square miles Estimate how much in foot) the water level rose in one day at the given flow rate. The water level rose approximately (Round to the nearest tenth as needed.)

Answer and explanation:

Peak rate= 8 billion gallons per day

7.5 gallons = 1 cubic feet

Given that

8 billion gallons= 24 hrs

And 24 hrs = 86400 seconds

8 billion gallons =86400 seconds

In one second =8000,000,000/86400

= 92,592.593 gallons

Units of cubic feet per second =92592.593/7.5= 12345.68 cubic feets

Therefore the flow rate in cubic feet per second = 12345.68 cubic feets

If we compare this to 30000 cubic feet per second flow rate of the river, it would be 12345.68/30000*100/1= 41.152% of the flow rate of the river

B) Given that the total cubic feet per day =86400*12345.68= 1066666752 cubic feet

And 1 mile = 5280 feet

1 square mile = 27878400 square feet

8 square miles = 8 × 27878400 = 223027200 square feet

To calculate the height,

The number of foot by which the water level rose in one day is

1066666752/223027200 = 4.7826 feet per day