SOLUTION: A conical pile of sand 6ft in height has a volume of 27 cubic ft. If the bottom of the pile is on level ground, how much ground does it cover?

Algebra ->  Surface-area -> SOLUTION: A conical pile of sand 6ft in height has a volume of 27 cubic ft. If the bottom of the pile is on level ground, how much ground does it cover?      Log On


   

Question 1041367: A conical pile of sand 6ft in height has a volume of 27 cubic ft. If the bottom of the pile is on level ground, how much ground does it cover?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
The volume of a cone is,
V=%28pi%2F3%29r%5E2%2Ah
The area of the base is,
A=pi%2Ar%5E2
So then,
27=%281%2F3%29A%2A%286%29
A=27%2F2ft%5E2