A cone that is 12 across and 6 high. What is the volume?
The formula to calculate 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.
Given that the cone is 12 inches across, the diameter of the base is 12 inches and the radius (r) is half of the diameter, which is 12/2 = 6 inches.
Using the formula, the volume of the cone is:
V = (1/3)π(6^2)(6)
V = (1/3)π(36)(6)
V = (1/3)π(216)
V = 72π cubic inches
Therefore, the volume of the cone is 72π cubic inches, or approximately 226.195 cubic inches.