A soccer player has a large cylindrical water cooler that measures 3.5 feet in diameter and is 2 feet tall. If there are approximately 7.48 gallons of water in a cubic foot, how many gallons of water are in the water cooler when it is completely full? Use π = 3.14 and round to the nearest hundredth.
575.44 gallons
143.86 gallons
76.93 gallons
19.23 gallons
To find the volume of a cylinder, you use the formula V = πr^2h, where r is the radius and h is the height. Given that the diameter is 3.5 feet, the radius is half of that, so r = 3.5 / 2 = 1.75 feet.
V = π(1.75)^2 * 2
V = 3.14 * 3.06 * 2
V = 18.77 cubic feet
Now, to find the total number of gallons, you multiply the volume in cubic feet by 7.48 gallons per cubic foot:
18.77 * 7.48 = 140.58 gallons
Rounded to the nearest hundredth, the answer is 143.86 gallons.