Question

A trucking company needs to move a pile of dirt. The dirt is stored in a pile shaped like a con. The pile is 12 yards hi, and it’s base has a radius of 4 yards. How many truckloads will the company need, if the truck code 6.2 a yard cube of dirt  use 3.14 for pi

Answer 1

To calculate the volume of the cone-shaped pile of dirt, we need to use the formula:

Volume = (1/3) x π x r^2 x h

where:
π = 3.14 (pi)
r = radius of the base of the cone = 4 yards
h = height of the cone = 12 yards

Substituting these values into the formula, we get:

Volume = (1/3) x 3.14 x 4^2 x 12
Volume = 200.96 cubic yards

So the pile of dirt has a volume of 200.96 cubic yards.

Now, we need to find out how many truckloads are required to transport this dirt. We are given that each truck can carry 6.2 cubic yards of dirt. So we can calculate the number of truckloads as:

Number of truckloads = Volume of dirt / Volume of each truckload

Number of truckloads = 200.96 / 6.2
Number of truckloads ≈ 32.42

Since the number of truckloads must be a whole number, we need to round up to the nearest integer. Therefore, the trucking company will need 33 truckloads to transport the pile of dirt.