SOLUTION: a cone-shaped pile of sand contains 5.4m cubed. if the pile of sand covers 8.1m squared , how high is the pile of sand

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Question 14315: a cone-shaped pile of sand contains 5.4m cubed. if the pile of sand covers 8.1m squared , how high is the pile of sand

Answer by Earlsdon(6103) About Me  (Show Source):
You can put this solution on YOUR website!
You are given the volume of the cone-shaped pile of sand as V = 5.4 m^3 and the area of the base of the cone as A = 8.1 m^2.
Start with the formula for the volume of a right-circular cone:
V+=+%281%2F3%29Ah But A = 8.1 m^2 and V = 5.4 m^3
5.4+=+%281%2F3%298.1h Divide both sides by 8.1
5.4%2F8.1+=+%281%2F3%29h Multiply both sides by 3.
3%285.4%29%2F8.1+=+h
h+=+2
The pile of sand is 2 meters high.