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?
A 3,185.6 cubic centimeters
B 3,256.2 cubic centimeters
C 3,325.7 cubic centimeters
D 3,855.3 cubic centimeters
To find the volume of the cylindrical container, we use the formula:
V = πr^2h
where V is the volume, r is the radius, and h is the height.
In this case, the diameter of the container is 13 centimeters, so the radius is half of that, or 6.5 centimeters. The height is 24 centimeters.
Plugging in these values into the formula, we have:
V = π(6.5^2)(24)
V ≈ π(42.25)(24)
V ≈ π(1014)
To the nearest tenth of a cubic centimeter, π is approximately 3.14. Therefore:
V ≈ 3.14(1014)
V ≈ 3,185.6 cubic centimeters
Therefore, the volume of the container is approximately 3,185.6 cubic centimeters.
Answer: $\boxed{\text{(A) 3,185.6 cubic centimeters}}$.