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 diameter is 14mm
the height is 12mm
The formula for the volume of a cone is V = (1/3) * π * r^2 * h, where r is the radius and h is the height.
First, we need to find the radius of the cone. Since the diameter is given as 14 mm, the radius is half of the diameter, which is 7 mm.
V = (1/3) * 3.14 * 7^2 * 12
V = (1/3) * 3.14 * 49 * 12
V = (1/3) * 3.14 * 588
V = (1/3) * 1851.12
V = 617.04 cubic millimeters
Therefore, the volume of the cone is approximately 617.04 cubic millimeters.
that is wrong
I apologize for the mistake. Let's reevaluate.
Given:
Diameter = 14mm, Radius = Diameter/2 = 14/2 = 7mm
Height = 12mm
The formula for the volume of a cone is V = (1/3) * π * r^2 * h.
Substitute the values:
V = (1/3) * 3.14 * 7^2 * 12
V = (1/3) * 3.14 * 49 * 12
V = (1/3) * 3.14 * 588
V = (1/3) * 1851.12
V = 617.04 cubic millimeters
Therefore, the volume of the cone is approximately 617.04 cubic millimeters.