What is the volume, in cubic millimeters, of the cone? Round your answer to the nearest hundredth.

height of 12 mm and a radius of 14 mm

Considering the values we’ve been given of 14D 12H

We can determine the radius is 7^2=49 x 12 which is our height doing the multiplication gives 588, 588 times 3.14 which is 1,846.32, then we would take our 1/3 factor sense this is the volume of a cone to get 615.44 when round to the nearest hundredth

The formula for calculating the volume of a cone is V = (1/3)πr²h, where r is the radius and h is the height.

Plugging in the given values, we have:
V = (1/3)π(14mm)²(12mm)
V = (1/3)π(196mm²)(12mm)
V = (1/3)(2352πmm³)
V ≈ 784.88mm³

Rounding to the nearest hundredth, the volume of the cone is approximately 784.88 cubic millimeters.