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The formula is quite complicated.
Let S stand for the amount of sand or dirt needed.
Let H stand for the height of dirt you piled up when you dug the hole
Let O stand for the outer circumference of the hole. There is no inner one.
Let V stand for velocity of dirt flying
Let E stand for the constant e which has nothing to do with this at all
Let L stand for last since that is the last variable in the formula.
Now multiply all these variables together and you have the formula to fill a hole. I have done the multiplication for you below.

Formula to fill a hole is S H O V E L
Here is a more "serious" link that covers the many possibilities. Consider the fact that the hole would be round, or have straight edges or many other shapes. Most of these calculations are worked out for you at the link below.


http://mathcentral.uregina.ca/QandQ/topics/dirt
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Q: What formula do I use to fill a hole with dirt?
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