Oatmeal is packaged in a cylindrical container, as shown in the diagram. The diameter of the container is 13 centimeters and its height is 24 centimeters. To the nearest tenth of a cubic centimeter, what is the volume of the container?
3,185.6 cubic centimeters
3,256.2 cubic centimeters
D
3,325.7 cubic centimeters
3,855.3 cubic centimeters
To find the volume of the cylindrical container, we can use the formula for the volume of a cylinder:
V = π r^2 h
where V is the volume, r is the radius (half the diameter), and h is the height.
Given the diameter is 13 centimeters, the radius is 13/2 = 6.5 centimeters.
Plugging in the values, we get:
V = π (6.5)^2 (24)
V = 3.14 (42.25) (24)
V = 3.14 (1014)
V ≈ 3185.36 cubic centimeters
Therefore, the volume of the container to the nearest tenth of a cubic centimeter is 3,185.4 cubic centimeters.
Thus, option A is the correct answer: 3,185.6 cubic centimeters.