Question
How many cubic meter of dirt are there in a pile, conical in shape, 12 m in diameter and 9 m high ?
Answers
GPT 3.5
The formula for calculating 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.
Given that the diameter of the base of the cone is 12m, the radius (r) is half of that, so r = 6m. The height (h) of the cone is 9m.
Plugging in the values into the formula, we get:
V = (1/3)π(6)^2(9)
V = (1/3)π(36)(9)
V = (1/3)π(324)
V = 108π cubic meters
Therefore, there are approximately 339.3 cubic meters of dirt in the pile.
Given that the diameter of the base of the cone is 12m, the radius (r) is half of that, so r = 6m. The height (h) of the cone is 9m.
Plugging in the values into the formula, we get:
V = (1/3)π(6)^2(9)
V = (1/3)π(36)(9)
V = (1/3)π(324)
V = 108π cubic meters
Therefore, there are approximately 339.3 cubic meters of dirt in the pile.