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:
Volume = (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 is half of that, which is 7 mm.
Plugging in the values:
Volume = (1/3) * 3.14 * 7^2 * 12
= (1/3) * 3.14 * 49 * 12
= (1/3) * 3.14 * 588
= 616.58
Rounding to the nearest hundredth, the volume of the cone is approximately 616.58 cubic millimeters.