Use the image to answer the question.
A right cone shows a base diameter of 14 millimeters and a perpendicular height of 12 millimeters. A right angle is formed with the diameter and the height at the center of the circular base.
What is the volume, in cubic millimeters, of the cone? Use 3.14 for pi. Round your answer to the nearest hundredth
To find the volume of a cone, we use the formula V = (1/3) * π * r^2 * h, where r is the radius of the base and h is the height of the cone.
Given that the base diameter is 14 mm, the radius (r) is half of that, so r = 7 mm.
Plugging in the values, we get V = (1/3) * 3.14 * 7^2 * 12
V = (1/3) * 3.14 * 49 * 12
V = (1/3) * 3.14 * 588
V = 614.36 cubic millimeters
Therefore, the volume of the cone is 614.36 cubic millimeters rounded to two decimal places.