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?

Answer 1

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.