There is an image of a right cone with a diamater of 14 mm and a height of 12mm.

What is the volume, in cubic millimeters, of the cone? Use 3.14 for pi. Round your answer to the nearest hundredth.

The volume of a cone can be calculated using the formula V = (1/3)πr^2h, where r is the radius of the cone and h is the height of the cone.

Given that the diameter of the cone is 14 mm, the radius can be calculated by dividing the diameter by 2. Therefore, the radius is 14 mm / 2 = 7 mm.

Plugging in the values into the formula, we get:
V = (1/3) * 3.14 * (7 mm)^2 * 12 mm
V = (1/3) * 3.14 * 49 mm^2 * 12 mm
V = 615.44 mm^3

Rounding the answer to the nearest hundredth, the volume of the cone is approximately 615.44 cubic millimeters.