A circular pool has a diameter of 12 feet. The pool is 5 feet deep everywhere. How much water is needed to fill the pool?
pi * 6^2 * 5 ft^3
Please help answer this question
To find how much water is needed to fill the pool, we need to calculate the volume of the pool. The volume of a cylinder (which the pool can be approximated as) can be found using the formula:
V = π * r^2 * h
where V is the volume, π is the mathematical constant pi (approximately 3.14159), r is the radius, and h is the height.
In this case, the pool is circular with a given diameter of 12 feet. The radius can be found by dividing the diameter by 2:
r = 12 feet / 2 = 6 feet
The height of the pool is given as 5 feet. We can now substitute these values into the volume formula:
V = π * (6 feet)^2 * 5 feet
Simplifying this equation:
V ≈ 3.14159 * 36 square feet * 5 feet
V ≈ 3.14159 * 180 square feet
V ≈ 565.48 cubic feet
Therefore, approximately 565.48 cubic feet of water is needed to fill the pool.