To calculate the volume of a cone, we use the formula V = 1/3 * π * r^2 * h, where r is the radius of the base and h is the height.
In this case, we are given the width of the cone, which appears to be the diameter. To find the radius, we divide the width by 2.
radius = width/2 = 14 mm / 2 = 7 mm
Now we can substitute the values into the formula and calculate the volume:
V = 1/3 * π * (7 mm)^2 * 12 mm
V ≈ 1/3 * 3.14 * 49 mm^2 * 12 mm
V ≈ 1/3 * 3.14 * 588 mm^3
V ≈ 1.0472 * 588 mm^3
V ≈ 615.44 mm^3
Rounding to the nearest hundredth, the volume of the cone is approximately 615.44 cubic millimeters.
What is the volume, in cubic millimeters, of the cone? Round your answer to the nearest hundredth.
height - 12 mm
width - 14 mm
1 answer