Question
A cone that is 12 across and 6 high. What is the volume?
Answers
GPT 3.5
The formula for the volume of a cone is V = (1/3)πr^2h, where r is the radius and h is the height.
Given that the diameter of the cone is 12, the radius (r) is half of that, which is 6.
So, r = 6 and h = 6.
Plugging these values into the formula:
V = (1/3)π(6)^2(6)
V = (1/3)π(36)(6)
V = (1/3)π(216)
V = 72π
Thus, the volume of the cone is 72π or approximately 226.195 cubic units.
Given that the diameter of the cone is 12, the radius (r) is half of that, which is 6.
So, r = 6 and h = 6.
Plugging these values into the formula:
V = (1/3)π(6)^2(6)
V = (1/3)π(36)(6)
V = (1/3)π(216)
V = 72π
Thus, the volume of the cone is 72π or approximately 226.195 cubic units.