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.
cubic millimeters
To find the volume of a cone, you can use the formula V = (1/3) * π * r^2 * h, where r is the radius of the base and h is the height.
First, we need to find the radius of the base. The diameter is given as 14 mm, so the radius is half of that, which is 14/2 = 7 mm.
Now we can plug the values into the formula:
V = (1/3) * 3.14 * 7^2 * 12
V = (1/3) * 3.14 * 49 * 12
V ≈ 615.86 cubic millimeters
Therefore, the volume of the cone is approximately 615.86 cubic millimeters.