The youth center has installed a swimming pool on
ladder
level ground. The pool is a right circular cylinder with a
diameter of 24 feet and a 6 feet
height of 6 feet. A diagram of the pool and its entry ladder is shown on the right.
67° k
24 feet
To the nearest cubic foot, what is the volume of water that will be in the pool when it is filled with water to a depth of 5 feet?
O A. 2262
O B. 11310
O C. 942
O D. 1885
O E. 9048
To find the volume of water in the pool when it is filled to a depth of 5 feet, we need to find the volume of the cylinder with a height of 5 feet.
The formula for the volume of a cylinder is V = πr^2h, where r is the radius and h is the height.
The given diameter of the pool is 24 feet, so the radius is half of that, which is 12 feet.
Substituting the values into the formula:
V = π(12^2)(5)
V = π(144)(5)
V = π(720)
V ≈ 2261.95
To the nearest cubic foot, the volume is 2262 cubic feet.
Therefore, the answer is A. 2262.