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?
Responses
A 3,185.6 cubic centimeters3,185.6 cubic centimeters
B 3,256.2 cubic centimeters3,256.2 cubic centimeters
C 3,325.7 cubic centimeters3,325.7 cubic centimeters
D 3,855.3 cubic centimeters3,855.3 cubic centimeters
To find the volume of the container, we need to use the formula for the volume of a cylinder, which is V = πr^2h, where r is the radius and h is the height.
The diameter of the container is 13 centimeters, so the radius is half of that, which is 13/2 = 6.5 centimeters.
The height of the container is 24 centimeters.
Now we can calculate the volume using the formula:
V = π(6.5^2)(24)
V ≈ 3.14159(42.25)(24)
V ≈ 3.14159(1014)
V ≈ 3184.59926
Rounding to the nearest tenth of a cubic centimeter, the volume of the container is approximately 3184.6 cubic centimeters.
The correct answer is A, 3,185.6 cubic centimeters.