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The Hoover Dam backs up the Colorado River and creates Lake Mead, which is approximately 115 miles long and has a surface area of approximately 225 square miles.

If, during flood conditions, the Colorado River flows into the lake at a rate of 32,900 cubic feet per second (cfs) and the outflow from the dam is 5,300 cfs, how many feet per 24-hour day will the lake level rise?

Answer :

Final answer:

The lake level will rise by approximately 13,093,176 feet per 24-hour day during flood conditions.

Explanation:

To find out how many feet per 24-hour day the lake level will rise, we need to calculate the net inflow of water into the lake. We can do this by subtracting the outflow from the inflow.

First, convert the inflow and outflow rates to feet per 24-hour day.

  1. Inflow rate = 32900 cfs * 1.98347 ft^3/s * 24 hours = 15632712 ft/day
  2. Outflow rate = 5300 cfs * 1.98347 ft^3/s * 24 hours = 2539536 ft/day

Next, subtract the outflow rate from the inflow rate to find the net inflow:

Net inflow rate = 15632712 ft/day - 2539536 ft/day = 13093176 ft/day.

This means that the lake level will rise by approximately 13,093,176 feet per 24-hour day during flood conditions.

Learn more about inflow and outflow here:

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