Final answer:
The volume of the cone is approximately 262 m³.
Step-by-step explanation:
To find the volume of a cone, we can use the formula:
V = 1/3 * π * r2 * h
In this case, the diameter is 10 m, so the radius is half of that, which is 5 m.
Plugging in the values, we have:
V = 1/3 * π * (5 m)2 * 10 m
V = 1/3 * π * 25 m2 * 10 m
V = 1/3 * π * 250 m3
Using π as approximately 3.14, we can calculate the volume:
V ≈ 1/3 * 3.14 * 250 m3
V ≈ 3.14 * 83.3 m3
V ≈ 261.62 m3
Rounding to the nearest whole number, the volume of the cone is 262 m3.