What is the volume, in cubic millimeters, of the cone? Round your answer to the nearest hundredth.
the diameter is 14 mm
the height is 12 mm
(1 point)
To find the volume of a cone, we use the formula:
V = (1/3) * π * r^2 * h
Given that the diameter is 14 mm, the radius (r) can be calculated as half of the diameter:
r = 14 mm / 2 = 7 mm
The height (h) is given as 12 mm.
Now we can substitute these values into the formula:
V = (1/3) * π * (7 mm)^2 * 12 mm
Calculating this expression:
V ≈ (1/3) * 3.14 * (49 mm^2) * 12 mm
V ≈ 0.3333 * 3.14 * 588 mm^3
V ≈ 616.52 mm^3
Rounded to the nearest hundredth, the volume of the cone is approximately 616.52 cubic millimeters.