This is done via the cylindrical area equation of height times pi r-squared. Iin this case, this would be 6 x 4(3.1416). I'll let you do the multiplication, so that I don't do ALL of your homework for you. ;) Your answere will yield the amount of water in cubic feet.
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The volume is 2,714.34ft3
Traditionally, the answer to this question is that since the object in question is a hole, there is no dirt in it. If the question is inquiring as to the volume of the hole, however, the hole could potentially hold 108 ft3 of dirt.
3768
The surface area is 377ft2
Pi x Radius2 x Height will give you the answer.