Question

Water flows through a pipe at a rate of 6 fluid ounces per day. Express this rate offlow in cubic meters per year. Round your answer to the nearest hundredth.*Note: you must use these exact conversion factors to get this question right.VolumeTime1 cup (cup) = 8 fluid ounces (fl oz)1 minute (min) = 60 seconds (sec)1 pint (pt) = 2 cups (cups)1 hour (hr) = 60 minutes (min)i quart (t) = 2 pints (pt)1 day (day) = 24 hours (hr)1 gallon (gal) = 4 quarts (9)1 week (week) = 7 days (days)1 cubic foot (ft") = 7.481 gallons (gal)1 month (month) = 30 days (days)1 liter (L.) = 1000 milliliters (mL)1 year (year) = 365 days (days)1 cubic meter (m) = 1000 liters (L)1 gallon (gal) = 3.785 liters (L.)1 fluid Ounce (fl oz) = 29.574 milliliters (L.)

Answer 1

Step 1

Given: A flow rate of 6 fluid ounces per day

Required: To convert 6 fluid ounces per day to cubic meters per year to the nearest hundredth

Step 2

To solve this problem we use the method of dimensional analysis for consistency

Convert 6 fluid ounces to cubic meter

`\begin{gathered} \frac{6\text{ }*3.785*1\text{cubic meter}}{8*2*2*4*1000} \\ =(22.71)/(128000) \\ =0.000177421875\text{ cubic meter} \end{gathered}`

Step 3

Convert 1 day to year

`\begin{gathered} \frac{1year}{365\text{ days}}=\frac{\text{xyear}}{1\text{ day}} \\ xyear=\frac{1\text{ year}*1\text{ day}}{365\text{ days}} \\ 1day\text{=0.002739726027 years} \end{gathered}`

Step 4

Get the final answer

`\begin{gathered} =\frac{0.000177421875\text{ cubic meter}}{\text{0.002739726027 years}} \\ =\text{ 0.064758984 cubic meters/ year} \\ =0.06\text{cubic meters/ years}\approx\text{ to the nearest hundredth} \end{gathered}`

Answer = 0.06 cubic meters per year