Question

Water flows into a swimming pool at the rate

of 5.25 gal/min.
If the pool dimensions are 33.8 ft wide, 40 ft
long and 11.1 ft deep, how long does it take to
fill the pool? (1 gallon = 231 cubic inches)
Answer in units of min.

Answer 1

t = 12.37 [min]

Step-by-step explanation:

In order to solve this problem we must first convert units of gallons to cubic feet.

`V = 5.25(gal)/(min)*231(ft^(3) )/(1gal) \\V = 1212.75[(ft^(3) )/(min) ]`

where:

V = volumetric flow = 1212.75 [ft^3/min]

And the volume of the pool can be calculated as follows :

v = 33.8*40*11.1 = 15007.2 [ft^3]

The volumetric flow is equal to:

V = v/t

where t is the time

t = v/V

t = 15007.2/1212.75

t = 12.37 [min]