Question
Water flows through a pipe at a rate of 8 cubic feet per hour. Express this rate of flow in pints per second. Round your answer to the nearest hundredth.
*Note: you must use these exact conversion factors to get this question right.
Volume Time
1 cup left parenthesis, cup, right parenthesis(cup) = 8 fluid ounces left parenthesis, fl oz, right parenthesis(fl oz) 1 minute left parenthesis, min, right parenthesis(min) = 60 seconds left parenthesis, sec, right parenthesis(sec)
1 pint left parenthesis, pt, right parenthesis(pt) = 2 cups left parenthesis, cups, right parenthesis(cups) 1 hour left parenthesis, hr, right parenthesis(hr) = 60 minutes left parenthesis, min, right parenthesis(min)
1 quart left parenthesis, qt, right parenthesis(qt) = 2 pints left parenthesis, pt, right parenthesis(pt) 1 day left parenthesis, day, right parenthesis(day) = 24 hours left parenthesis, hr, right parenthesis(hr)
1 gallon left parenthesis, gal, right parenthesis(gal) = 4 quarts left parenthesis, qt, right parenthesis(qt) 1 week left parenthesis, week, right parenthesis(week) = 7 days left parenthesis, days, right parenthesis(days)
1 cubic foot left parenthesis, ft³, right parenthesis(ft³) = 7.481 gallons left parenthesis, gal, right parenthesis(gal) 1 month left parenthesis, month, right parenthesis(month) = 30 days left parenthesis, days, right parenthesis(days)
1 liter left parenthesis, L, right parenthesis(L) = 1000 milliliters left parenthesis, mL, right parenthesis(mL) 1 year left parenthesis, year, right parenthesis(year) = 365 days left parenthesis, days, right parenthesis(days)
1 cubic meter left parenthesis, m³, right parenthesis(m³) = 1000 liters left parenthesis, L, right parenthesis(L)
1 gallon left parenthesis, gal, right parenthesis(gal) = 3.785 liters left parenthesis, L, right parenthesis(L)
1 fluid ounce left parenthesis, fl oz, right parenthesis(fl oz) = 29.574 milliliters left parenthesis, mL, right parenthesis(mL)
*Note: you must use these exact conversion factors to get this question right.
Volume Time
1 cup left parenthesis, cup, right parenthesis(cup) = 8 fluid ounces left parenthesis, fl oz, right parenthesis(fl oz) 1 minute left parenthesis, min, right parenthesis(min) = 60 seconds left parenthesis, sec, right parenthesis(sec)
1 pint left parenthesis, pt, right parenthesis(pt) = 2 cups left parenthesis, cups, right parenthesis(cups) 1 hour left parenthesis, hr, right parenthesis(hr) = 60 minutes left parenthesis, min, right parenthesis(min)
1 quart left parenthesis, qt, right parenthesis(qt) = 2 pints left parenthesis, pt, right parenthesis(pt) 1 day left parenthesis, day, right parenthesis(day) = 24 hours left parenthesis, hr, right parenthesis(hr)
1 gallon left parenthesis, gal, right parenthesis(gal) = 4 quarts left parenthesis, qt, right parenthesis(qt) 1 week left parenthesis, week, right parenthesis(week) = 7 days left parenthesis, days, right parenthesis(days)
1 cubic foot left parenthesis, ft³, right parenthesis(ft³) = 7.481 gallons left parenthesis, gal, right parenthesis(gal) 1 month left parenthesis, month, right parenthesis(month) = 30 days left parenthesis, days, right parenthesis(days)
1 liter left parenthesis, L, right parenthesis(L) = 1000 milliliters left parenthesis, mL, right parenthesis(mL) 1 year left parenthesis, year, right parenthesis(year) = 365 days left parenthesis, days, right parenthesis(days)
1 cubic meter left parenthesis, m³, right parenthesis(m³) = 1000 liters left parenthesis, L, right parenthesis(L)
1 gallon left parenthesis, gal, right parenthesis(gal) = 3.785 liters left parenthesis, L, right parenthesis(L)
1 fluid ounce left parenthesis, fl oz, right parenthesis(fl oz) = 29.574 milliliters left parenthesis, mL, right parenthesis(mL)
Answers
Answered by
GPT-4o mini
To convert the flow rate of water from cubic feet per hour to pints per second, we will follow these steps:
1. **Convert cubic feet to gallons**:
\[
1 \text{ ft}^3 = 7.481 \text{ gallons}
\]
Thus, for 8 cubic feet:
\[
8 \text{ ft}^3 = 8 \times 7.481 \text{ gallons} = 59.848 \text{ gallons}
\]
2. **Convert gallons to pints**:
We know that:
\[
1 \text{ gallon} = 8 \text{ pints}
\]
So,
\[
59.848 \text{ gallons} = 59.848 \times 8 \text{ pints} = 478.784 \text{ pints}
\]
3. **Convert hours to seconds**:
Since there are 3600 seconds in an hour:
\[
1 \text{ hr} = 3600 \text{ seconds}
\]
4. **Calculate the flow rate in pints per second**:
Now, we can find the flow rate:
\[
\text{Flow rate} = \frac{478.784 \text{ pints}}{3600 \text{ seconds}} \approx 0.1336 \text{ pints/second}
\]
5. **Round the result**:
Rounding to the nearest hundredth:
\[
0.1336 \approx 0.13
\]
Thus, the flow rate of water through the pipe is approximately **0.13 pints per second**.
1. **Convert cubic feet to gallons**:
\[
1 \text{ ft}^3 = 7.481 \text{ gallons}
\]
Thus, for 8 cubic feet:
\[
8 \text{ ft}^3 = 8 \times 7.481 \text{ gallons} = 59.848 \text{ gallons}
\]
2. **Convert gallons to pints**:
We know that:
\[
1 \text{ gallon} = 8 \text{ pints}
\]
So,
\[
59.848 \text{ gallons} = 59.848 \times 8 \text{ pints} = 478.784 \text{ pints}
\]
3. **Convert hours to seconds**:
Since there are 3600 seconds in an hour:
\[
1 \text{ hr} = 3600 \text{ seconds}
\]
4. **Calculate the flow rate in pints per second**:
Now, we can find the flow rate:
\[
\text{Flow rate} = \frac{478.784 \text{ pints}}{3600 \text{ seconds}} \approx 0.1336 \text{ pints/second}
\]
5. **Round the result**:
Rounding to the nearest hundredth:
\[
0.1336 \approx 0.13
\]
Thus, the flow rate of water through the pipe is approximately **0.13 pints per second**.