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
The volume of a cylinder is given by the formula V = πr^2h, where r is the radius (half the diameter) and h is the height.
In this case, the diameter is 13 cm, so the radius is 13/2 = 6.5 cm.
The height is 24 cm.
Using the formula, we have V = π(6.5^2)(24).
Calculating this expression, we get V ≈ 3,185.6 cubic centimeters.
Therefore, the volume of the container is approximately 3,185.6 cubic centimeters.
The closest option to this answer is a) 3,185.6 cubic centimeters.