SOLUTION: A cone shaped pile of sand contains 5.4m^3. If the pile of sand covers 8.1m^2, how high is the pile of sand. ( uyse formula v=(1/3)(area of base) (height) to find the volume of a c

Algebra ->  Volume -> SOLUTION: A cone shaped pile of sand contains 5.4m^3. If the pile of sand covers 8.1m^2, how high is the pile of sand. ( uyse formula v=(1/3)(area of base) (height) to find the volume of a c      Log On


   

Question 120309: A cone shaped pile of sand contains 5.4m^3. If the pile of sand covers 8.1m^2, how high is the pile of sand. ( uyse formula v=(1/3)(area of base) (height) to find the volume of a cube.
Thank you.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
If the sand covers 8.1m^2, this means the area of the base is A=8.1

So the volume V=%281%2F3%29Ah Start with the given formula



5.4=%281%2F3%29%288.1%29h Plug in the given volume V=5.4 and the area A=8.1


5.4=%282.7%29h Multiply


5.4%2F2.7=h Divide both sides by 2.7 to isolate h


2=h Divide



So our answer is h=2 which means the height is 2 meters