Question
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
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Answer
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Answers
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GPT 3.5
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.
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.