Question
A party hat is shaped like a cone. The dimensions of the party hat are circumference=6 and height=8 Which measurement is closest to the volume of the party hat in cubic inches?
Answers
GPT 3.5
The formula for the volume of a cone is V = (1/3)πr^2h, where r is the radius of the base of the cone and h is the height of the cone.
In this case, the circumference of the base of the cone is 6, so we can find the radius by dividing the circumference by 2π: 6 / (2π) ≈ 0.9549.
The height of the cone is 8.
Plugging these values into the volume formula, we get V ≈ (1/3)π(0.9549)^2(8) ≈ 2.416 cubic inches.
Therefore, the measurement closest to the volume of the party hat is 2.416 cubic inches.
In this case, the circumference of the base of the cone is 6, so we can find the radius by dividing the circumference by 2π: 6 / (2π) ≈ 0.9549.
The height of the cone is 8.
Plugging these values into the volume formula, we get V ≈ (1/3)π(0.9549)^2(8) ≈ 2.416 cubic inches.
Therefore, the measurement closest to the volume of the party hat is 2.416 cubic inches.