Michael, Mason, and Samuel are helping their friend Russell to fill his new cylinder-shaped swimming pool for a summer party. The pool has a diameter of 20 feet. They managed to fill it with water to a depth of 3 feet. What is the volume of the water in the pool, to the nearest cubic foot?
A) 377 cubic feet
B) 3,768 cubic feet
C) 2,958 cubic feet
D) 942 cubic feet
To find the volume of the water in the pool, we need to calculate the volume of a cylinder. The formula for the volume of a cylinder is 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 20 feet, the radius is half of the diameter, or 10 feet.
The height of the water is 3 feet.
Plugging these values into the formula, we get V = π(10^2)(3) = π(100)(3) = 300π.
To find the volume to the nearest cubic foot, we need to approximate the value of π. Typically, π is approximated to 3.14.
Therefore, V ≈ 300(3.14) = 942 cubic feet.
The volume of the water in the pool is approximately 942 cubic feet.
Therefore, the answer is D) 942 cubic feet.