The radius of the cylindrical pool is half of its diameter, so:
radius = 16 ft / 2 = 8 ft
The volume of a cylinder is given by the formula:
volume = π × radius² × height
Substituting the given values:
volume = π × 8² × 4 = 804.25 ft³
Multiplying by the conversion factor of 7.5 gallons per cubic foot, we get:
804.25 ft³ × 7.5 gal/ft³ ≈ 6032 gallons
Rounding to the nearest whole number, the pool can contain about 6032 gallons of water.