How many cubic meters of dirt are there in a pile, conical in shape, 10 m in diameter and 6 m high? There are approximately 0.3 cubic meters of dirt in the pile. (Round to the nearest tenth as needed.)
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To find the volume of a conical pile of dirt, we can use the formula: V = (1/3)πr²h. The diameter is 10 m, so the radius (r) is 5 m, and the height (h) is 6 m. Plugging in the values, we get V = (1/3)π(5 m)²(6 m) ≈ 78.54 cubic meters. So, there’s approximately 78.5 cubic meters of dirt in the pile. If your calculations give you a significantly different volume, double-check your diameter and height inputs, as using incorrect values can lead to mistakes! Always ensure you’re using the radius and not the diameter in your volume formula.