Find the volume of the cone shown as a decimal rounded to the nearest tenth.
A right circular cone is shown. The height of the cone is 29 meters and the diameter of the circular base is 12 meters.
(1 point)
Responses
728.8 m3
728.8 m 3
1,093.3 m3
1,093.3 m 3
1,639.9 m3
1,639.9 m 3
4,373.1 m3
The volume of a cone can be calculated using 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, the diameter of the base is 12 meters, so the radius is half of that, which is 6 meters. The height is given as 29 meters.
Plugging these values into the formula, we get V = (1/3) * π * 6^2 * 29.
Calculating this, we find V ≈ 1,639.9 m^3.
Rounded to the nearest tenth, the volume of the cone is 1,639.9 m^3.