Find the volume of a cone with a base diameter of 8 m and a height of 6 m.

Use the value 3.14 for pi, and do not do any rounding.
Be sure to include the correct unit in your answer.

1 answer

First, we need to find the radius of the cone's base. The radius is half of the diameter, so r = 8m / 2 = 4m.

The volume of a cone is given by the formula V = (1/3) * pi * r^2 * h, where r is the radius of the base and h is the height.

Substitute the values into the formula:
V = (1/3) * 3.14 * 4^2 * 6
V = (1/3) * 3.14 * 16 * 6
V = (1/3) * 3.14 * 96
V = 100.48 m^3

Therefore, the volume of the cone is 100.48 cubic meters.