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(r^2)h
h = 2.8m
r =d/2 = 6.8/2 = 3.4m
v = (1/3)pi(3.4)^2(2.8)
To find the volume of a conical pile of gravel, you can use the formula for the volume of a cone, which is given by:
V = (1/3) * π * r^2 * h
Where:
V is the volume of the cone,
π is a mathematical constant (approximately 3.14159),
r is the radius of the base (half the diameter),
h is the height of the cone.
In this case, the diameter of the base is given as 6.8m, so the radius (r) can be calculated by dividing the diameter by 2:
r = 6.8m / 2 = 3.4m
The height (h) is given as 2.8m.
Now, we can substitute the values into the formula:
V = (1/3) * π * (3.4m)^2 * 2.8m
Calculating this equation will give us the volume of the gravel in the pile.