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? Round your answer to the nearest hundredth.(1 point)
To find the volume of a cone, we can 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 millimeters, the radius is half of that, which is 7 millimeters.
Plugging in the values, we have:
Volume = (1/3) * π * (7^2) * 12
≈ (1/3) * π * 49 * 12
≈ 204.2 cubic millimeters
Rounding to the nearest hundredth, the volume of the cone is approximately 204.20 cubic millimeters.