Final answer:
The volume of a cylinder with a radius of 3 inches and a height of 12 inches is calculated using the formula V = πr²h. By substituting the values and using 3.14 for π, we find the volume to be 339.12 cubic inches, which matches option a.
Step-by-step explanation:
To find the volume of the cylinder, we use the formula V = πr²h, where V represents volume, r is the radius, and h is the height of the cylinder. In this case, the given radius is 3 inches, and the height is 12 inches.
Substituting these values into the formula, we get: V = π * (3 inches)² * 12 inches
V = 3.14 * 9 * 12
V = 339.12 cubic inches.
Therefore, the volume of the cylinder is 339.12 cubic inches, which corresponds to option a.