Question

Assuming a high-rate sand filter is operated at 15 gallons per minute per square foot, the minimum size filter needed for a 36,000-gallon swimming pool operating with a six hour turnover rate is _____ square feet.

Answer 1

6.67 square feet

Step-by-step explanation:

Data provided in the question:

Rate at which the filter is operating = 15 gallons per minute per square foot

Volume of the water in the pool = 36,000 gallon

Time of operation = 6 hours = 6 × 60 = 360 minutes

Now,

Rate of filter for 6 hours

= 15 gallons per minute per square foot × 360 minutes

= 15 × 360

= 5400 gallons per square foot

Therefore,

Minimum area required = 36,000 gallon ÷ [ 5400 gallons per square foot ]

= 6.67 square feet