Volume of Holes Left by a Tree Spade
Molly McKee
Greetings Sir,

My name is Michael ______ and I am a resident in _______, Florida.

I have a question in which you may be able to help.

I have sold some large cedar trees to be used for landscaping. The contractor promised to fill in the holes he's dug after he's taken the trees out. He used a 90-inch hydraulic tree-digging spade, so the base of the cone is 90-inches across at its widest, and approximately 60-inches deep. How much back-fill will be required to fill each individual hole, or how much fill would be required to do the entire job, assuming he removes 150 trees. Fill is supplied in cubic yards, that I'm sure you know is 27-cubic feet/cubic yard.

Any help you may provide would be greatly appreciated.
Find the volume of one hole:
V = 40500π, or about 127234.5025 cubic inches
(To find the cubic feet, divide this number by 123, or 1728)
 
Each hole would require approximately 73.6311 cubic feet to fill or 2.7271 cubic yards
 
If there are 150 holes to be filled, approximately 409 cubic yards of back-fill would be needed.
 
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If the customer must purchase fill dirt by the truckload and each truckload holds 6 cubic yards of fill-dirt, how many truckloads must he order?
Therefore, the customer must order 69 truckloads if he would like to fill all of the holes completely.