What is the capacity, in litres, of sawdust in a cone-shaped pile 4 m high and 4 m wide across the base?

a. 20 400 L b. 13 600 L

c. 18 700 L d. 17 000 L

1 answer

The capacity of a cone-shaped pile can be found using the formula:

V = (1/3) * π * r^2 * h

Given that the cone-shaped pile has a height (h) of 4 m and a width across the base (diameter) of 4 m, we can find the radius (r) using the formula:

r = d/2 = 4/2 = 2 m

Now, let's substitute the values into the formula to find the capacity (V):

V = (1/3) * π * (2^2) * 4
= (1/3) * 3.14 * (4) * 4
≈ 16.746666...

So, the closest answer option is d. 17,000 L.