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.(1 point)
The volume of a cone can be calculated using the formula:
V = (1/3) * pi * r^2 * h
Where V is the volume, pi is the mathematical constant approximately equal to 3.14, r is the radius (half of the base diameter), and h is the perpendicular height.
In this case, the base diameter is 14 millimeters, so the radius is half of that, which is 7 millimeters. The height is given as 12 millimeters.
Plugging these values into the volume formula:
V = (1/3) * 3.14 * (7^2) * 12
V ≈ (1/3) * 3.14 * 49 * 12
V ≈ (1/3) * 3.14 * 588
V ≈ 615.44
Therefore, the volume of the cone is approximately 615.44 cubic millimeters when rounded to the nearest hundredth.