Answer:
approximately 449.6 cm^3.
Explanation:
To find the volume of the cylindrical container, we can use the formula for the volume of a cylinder:Volume = π * radius^2 * height
The given information states that the diameter of the container is 5.1 centimeters. We need to find the radius, which is half the diameter.Radius = Diameter / 2
Radius = 5.1 cm / 2
Radius ≈ 2.55 cmThe height of the container is given as 22 centimeters.Now, we can calculate the volume using the formula:Volume = π * radius^2 * height
Volume = π * (2.55 cm)^2 * 22 cmTo find the volume to the nearest tenth of a cubic centimeter, we can use an approximation of π as 3.14.Volume ≈ 3.14 * (2.55 cm)^2 * 22 cmCalculating the expression:Volume ≈ 3.14 * (6.5025 cm^2) * 22 cm
Volume ≈ 3.14 * 143.055 cm^3
Volume ≈ 449.6187 cm^3Rounding the volume to the nearest tenth of a cubic centimeter:Volume ≈ 449.6 cm^3Therefore, to the nearest tenth of a cubic centimeter, the volume of the cylindrical container is approximately 449.6 cm^3.