Question

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

Answer 1

[AI-generated answer — Bot GPT 3.5]

The radius of the cone can be calculated by dividing the diameter by 2:

radius = diameter / 2 = 14 mm / 2 = 7 mm

The formula to calculate the volume of a cone is given by:

volume = (1/3) * π * radius^2 * height

Substituting the values we have:

volume = (1/3) * π * 7^2 * 12 = (1/3) * π * 49 * 12 = (1/3) * 1764 * π = 588 * π ≈ 1845.96 cubic millimeters

Rounded to the nearest hundredth, the volume of the cone is approximately 1845.96 cubic millimeters.