Question
A cone-shaped hat is 25 cm tall and had a diameter of 21. What is the volume of the party hat?
Answers
GPT 3.5
First, we need to find the radius of the cone-shaped hat. The diameter is 21 cm, so the radius is half of that, which is 10.5 cm.
The formula for the volume of a cone is V = (1/3)πr^2h, where r is the radius and h is the height.
Plugging in the values:
V = (1/3)π(10.5)^2(25)
V = (1/3)π(110.25)(25)
V = (1/3)π(2756.25)
V ≈ 2911.89 cm^3
Therefore, the volume of the party hat is approximately 2911.89 cm^3.
The formula for the volume of a cone is V = (1/3)πr^2h, where r is the radius and h is the height.
Plugging in the values:
V = (1/3)π(10.5)^2(25)
V = (1/3)π(110.25)(25)
V = (1/3)π(2756.25)
V ≈ 2911.89 cm^3
Therefore, the volume of the party hat is approximately 2911.89 cm^3.