First, we need to calculate the radius of the base of the cone. Since the diameter is 14 millimeters, the radius is half of that, which is 7 millimeters.
Next, we can use the formula for the volume of a cone:
Volume = (1/3) * π * r^2 * h
Plugging in the values:
Volume = (1/3) * 3.14 * 7^2 * 12
Volume = (1/3) * 3.14 * 49 * 12
Volume = (1/3) * 3.14 * 588
Volume = 614.256 cubic millimeters
Rounded to the nearest hundredth, the volume of the cone is 614.26 cubic millimeters.
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 answer