What is the capacity, in litres, of sawdust in a cone-shaped pile 5 m high and 7.5 m wide across the base?
59 200 L
81 400 L
88 800 L
74 000 L
The formula to find the volume of a cone-shaped pile is: V = (1/3) * π * r^2 * h
Given:
Height (h) = 5 m
Width across the base (r) = 7.5 m
Let's calculate the volume using the formula:
V = (1/3) * π * (7.5/2)^2 * 5
V = (1/3) * π * 3.75^2 * 5
V ≈ 59,200 L
Therefore, the capacity of the sawdust pile is approximately 59,200 L.
So, the correct option is: 59,200 L.