A cone that is 12 across and 6 high. What is the volume?
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.