Water flows into a swimming pool at the rate of 8 gal/min. The pool is 16 ft wide, 32 ft long and 8 ft deep. How long does it take to fill? (1 U. S. gallon = 231 cubic inches)

Explanation:

Given:

Dimensions of pool,

L = 32 ft

B = 16 ft

H = 8 ft

Volume of the rectangular pool = L × B × H

= 32 × 16 × 8

= 4096 ft^3

converting ft^3 to inches^3,

4096 ft^3 × (12 in)^3/(1 ft)^3

= 7077888 in^3

1 gallon = 231 in^3

1 in^3 = 1/231 gallon

7077888 in^3 = 1/231 × 7077888

= 30640.2 gallons

Volumetric rate = 8 gal/min

Volumetric rate = volume/time

Time = 30640.2/8

= 3830.026 mins

Time, t = 2.66 days.

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