An above ground swimming pool in the shape of cylinder has a diameter of 18 feet and a height of 4.5 feet. If the pool is filled to the top, what is the volume, to the nearest cubic foot, of the water in the pool?
The formula to calculate the volume of a cylinder is V = πr^2h, where r is the radius and h is the height.
Given that the diameter of the pool is 18 feet, the radius (r) is half of the diameter, so r = 18/2 = 9 feet.
The height (h) of the pool is 4.5 feet.
Substitute r = 9 feet and h = 4.5 feet into the formula:
V = π(9)^2(4.5)
V = π(81)(4.5)
V = 364.5π
To find the volume to the nearest cubic foot, multiply 364.5 by π and then round to the nearest whole number:
V ≈ 364.5 * 3.14159 ≈ 1145 cubic feet
Therefore, the volume of the water in the pool is approximately 1145 cubic feet.