SOLUTION: Hello. My husband and I are trying to figure out how many cord of wood we have just split. It's piled into a cone area with a base area of 19' across and 8' high. Approximately

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Question 189566: Hello. My husband and I are trying to figure out how many cord of wood we have just split. It's piled into a cone area with a base area of 19' across and 8' high. Approximately how many cord do we have???
Thank you,
Joanna

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Note: a cord of wood is defined to be 4 feet high by 4 feet wide by 8 feet long which gives a volume of cubic feet.


I'm assuming that the cone has a base diameter of 19'. Or is the base area 19 square feet? If the base has a diameter of 19', this would then mean that the base radius is 9.5'. So (if the assumption is correct).


What you want to do first is find the volume of the cone


Start with the volume of a cone equation.


Plug in and . Also, replace with 3.14


Square 9.5 to get 90.25


Multiply


Divide


So the volume of the cone is approximately 755.693 cubic feet.


Now take the volume of the cone and divide it into the volume of one cord of wood to get




So there are about 5 full cords (almost 6) of wood in that pile.

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