Assume it takes 6.00 minutes to fill a 45.0 gal gasoline tank. (1 U.S. gal = 231 in.3)

I don't know how to solve for part C.

(a) Calculate the rate at which the tank is filled in gallons per second.
ANSWER: 0.125

(b) Calculate the rate at which the tank is filled in cubic meters per second.
ANSWER: 4.73e-4

(c) Determine the time interval, in hours, required to fill a 1 m3 volume at the same rate.

Your answer from part b is rate = ??m3/s

??m3/sec x sec = m3
Solve for sec.

Then convert sec to hours.
sec x (1 min/60 sec) x (1 hr/60 min) = ??

Your answer from part b is rate = ??m3/s

??m3/sec x sec = m3
Solve for sec.

Then convert sec to hours.
sec x (1 min/60 sec) x (1 hr/60 min) = ??

---------------

So I have the rate 4.73e-4 m3/s. I'm not sure how the cancellation for the m3 to disappear, but I get the converting the second to hours part, just not the step prior to get there?

rate = meter*meter*meter/seconds x seconds = meter*meter*meter. The second in the denominator of the first part cancels with second in the numerator of the second part. This is just like

(meter/second) x second = meter

To solve for part C, we need to determine the time interval required to fill a 1 m^3 volume at the same rate.

First, let's find the rate at which the tank is filled in cubic meters per minute, which we can then convert to cubic meters per hour.

To find the rate at which the tank is filled in cubic meters per minute, we need to convert the given rate from gallons per minute to cubic meters per minute.

We know that 1 U.S. gallon is equal to 231 cubic inches, and 1 cubic inch is equal to 0.0163871 cubic meters.

So, to convert gallons to cubic meters, we have:

45.0 gal * (231 in^3/gal) * (0.0163871 m^3/in^3) = 60.1282 m^3

Next, we can find the rate of filling in cubic meters per minute:

Rate in cubic meters per minute = 60.1282 m^3 / 6.00 min = 10.0214 m^3/min

Now, let's convert the rate to cubic meters per hour:

Rate in cubic meters per hour = 10.0214 m^3/min * 60 min/hour = 601.284 m^3/hour

Finally, to determine the time interval required to fill a 1 m^3 volume at the same rate, we divide 1 m^3 by the rate in cubic meters per hour:

Time interval in hours = 1 m^3 / 601.284 m^3/hour ≈ 0.0017 hours

Therefore, it would take approximately 0.0017 hours, or about 6.2 seconds, to fill a 1 m^3 volume at the same rate.