Find the volume of a right circular cone that has a height of 13.8 m and a base with a circumference of 15.8 m. Round your answer to the nearest tenth of a cubic meter.
Answer
Attempt 1 out of 2
The circumference of the base of the cone is given as 15.8 m. This means that the radius of the base is half of the circumference, which is 15.8 / (2π) = 2.5 m.
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.
Plugging in the values, we have V = 1/3 * π * (2.5)^2 * 13.8.
Calculating this expression gives V ≈ 36.174 cubic meters.
Rounding to the nearest tenth, the volume of the cone is approximately 36.2 cubic meters.