Final answer:
The pool can hold approximately 64.8 gallons of water.
Step-by-step explanation:
To calculate the number of gallons of water the pool can hold, we first need to determine the volume of the pool. The pool is in the shape of a cylinder, so we can use the formula for the volume of a cylinder: V = πr^2h, where V is the volume, r is the radius, and h is the height.
Given that the diameter of the pool is 7 feet, the radius is half of that, which is 3.5 feet. The height of the pool is 8 inches, which is 8/12 = 2/3 feet.
Substituting these values into the formula, we have V = π(3.5)^2(2/3)
Calculating this, we find that the volume of the pool is approximately 8.64 cubic feet.
Since 1 cubic foot holds 7.5 gallons, we multiply the volume by 7.5 to find the number of gallons: 8.64 * 7.5 = 64.8 gallons.
Rounding to the nearest 0.1 gallon, the pool can hold approximately 64.8 gallons of water.