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| Math Central | Quandaries & Queries |
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Subject: Yardage of dirt fill I am removing dirt then replacing it with good dirt. I need to know how many yards of fill dirt it would take to fill a diameter 165 feet with fill of 13 ft would take how many cubic yards of dirt. |
Wow! That's a big hole.
You have a cylindrical hole that is 165 feet in diameter and 13 feet deep. Since you want the volume in cubic yards you should convert all the dimensions to yards. There are 3 feet in a yard so
165 ft = 165/3 yards = 55 yards
13 ft = 13/3 yards = 4.33 yards
The volume of a cylinder is
volume =
r2 h
where r is the radius (half the diameter) and h is the height. Thus you have a volume of
4.33 = 10,287 cubic yards.
Penny
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