High School

The following conversion equivalents are given:

1 gal = 231 in³
1 ft = 12 in
1 min = 60 s

A pipe delivers water at the rate of 95 gal/min. The rate in ft³/s is closest to:

a) 0.15
b) 0.21
c) 0.17
d) 0.19

Answer :

Final answer:

To convert the water delivery rate of 95 gal/min to ft³/s, we use the given conversion factors and find that the rate is approximately 0.2117 ft³/s, which is closest to 0.21 ft³/s.

Explanation:

To find the rate at which water is delivered by a pipe in ft³/s when given the rate in gal/min, we need to convert gallons to cubic feet and minutes to seconds using the given conversion factors:

  • 1 gallon = 231 cubic inches
  • 1 cubic foot = 1728 cubic inches
  • 1 minute = 60 seconds

First, we convert the flow rate of 95 gal/min into cubic feet per minute:

95 gal/min * (231 in³/gal) = 21945 in³/min

21945 in³/min * (1 ft³/1728 in³) = 12.7 ft³/min

Now, convert cubic feet per minute to cubic feet per second:

12.7 ft³/min * (1 min/60 sec) = 0.2117 ft³/s

Looking at the provided options, the closest one is 0.21 ft³/s.

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