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 centimeters
To find the volume of the container, we need to use the formula for the volume of a cylinder: V = πr^2h, where r is the radius of the base and h is the height.
Given that the diameter of the container is 13 centimeters, we can find the radius by dividing the diameter by 2: r = 13/2 = 6.5 centimeters.
Plugging in the values for r = 6.5 and h = 24 into the volume formula, we get V = π(6.5)^2(24).
Calculating this expression gives us approximately 3,185.6 cubic centimeters.
Therefore, the volume of the container to the nearest tenth of a cubic centimeter is 3,185.6 cubic centimeters.
Therefore, the correct answer is A 3,185.6 cubic centimeters.