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 \(45,000 \mathrm{cfs}\) and the outflow from the dam is \(8000 \mathrm{cfs}\), how many feet per 24-hour day will the lake level rise?