A pile of gravel is conical in shape. If the diameter is approximately 6.8m and the height is 2.8m, what is the volume of gravel in the pile?
v = 1/3 pi (3.4^2) (2.8) m^3
To find the volume of the gravel pile, we can use the formula for the volume of a cone:
V = (1/3) * π * r^2 * h
where V is the volume, π is a mathematical constant approximately equal to 3.14, r is the radius of the cone's base, and h is the height of the cone.
In this case, we are given the diameter of the base, which is approximately 6.8m. To find the radius, we need to divide the diameter by 2:
radius = diameter / 2 = 6.8m / 2 = 3.4m
Substituting the given values into the formula, we can calculate the volume:
V = (1/3) * 3.14 * (3.4m)^2 * 2.8m
V = (1/3) * 3.14 * 3.4m * 3.4m * 2.8m
V = (1/3) * 3.14 * 38.72m^3 * 2.8m
V ≈ 120.697m^3
Therefore, the volume of gravel in the pile is approximately 120.697 cubic meters.