# I have a tree 8in at one end 20in at the other and 16ft iong how many cubic yard are there

Show me how to get the solution

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I think this is about the volume of wood in the log.

First we need the total length if it tapered to a point. In a length of 16 x 12 = 192" it tapered down by 20 - 8 = 12" , which is 1" for each
192 / 12 = 16" of length. So if the tree tapered right out to a point, the extra would be 8 x 16 = 128" length, for a total of 128 + 192 = 320" length.

Now the volume of a cylindrical cone is 1/3 * Pi * r^2 * h, so the whole log including the imaginary point is 1 /3 * Pi * 10^2 * 320 = 33510.3 cu in.

The volume of just the imaginary bit is 1 /3 * Pi * 4^2 * 128 = 2144.7. The solid part has a volume then of 33510.3 - 2144.7 = 31365.6 cu in.

There are 36 x 36 x 36 = 46656 cu in per cu yd, so the log has a volume of 31365.6 / 46656 = 0.67 cu yd, or 2/3 cu yds.

Study this and make sure you understand it. Don't merely copy it because you will learn nothing and will not know how to deal with the next problem.
.

Posted on Dec 14, 2016

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Http://www.wikihow.com/Find-the-Surface-Area-of-Cones
How to Find the Surface Area of Cones This is the link to the best description on how to work out the surface area of a cone. In your case you need to work out the total surface area of the cone and then subtract the smaller cone, (the invisible one) on the top of the tree.
Just me, but it would be easier to convert the equation to metric, get the equivalent square meters and then convert to square yards using Google help. I never learnt imperial measurements. Hope this helps. Cheers Bob

Posted on Dec 14, 2016

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Sorry we do not do peoples homework here on FIXYA .

Posted on Dec 14, 2016

Hi,
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Posted on Jan 02, 2017

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## Related Questions:

### What is the cubic yard of a circle that is 10.82feet diameter x 16inches deep?

the formula for volume of a cylinder is Volume = pi × r2 × h
but if you arent math savvy, first you convert your units so they are the same. all you have to do is change 16 inches into 1.3 feet and divide your diameter (10.82 feet) by 2 to give you the radius (5.41 feet)
plug in those values here:
https://www.bing.com/search?FORM=U312DF&PC=U312&q=volume+of+a+cylinder

and you will get 119.5 cubic feet

then convert cubic feet to cubic yards here:
http://www.metric-conversions.org/volume/cubic-feet-to-cubic-yards.htm

Apr 26, 2017 | The Office Equipment & Supplies

### Area 40 ft long 4ft wide 5 inches deep how many sq yards needed

First step - convert everything to feet - 5" is 5/12 of a foot

40 x 4 x 5/12 = 66.6 cubic feet.

Since a cubic yard is 3 feet by 3 feet by 3 feet, there are 27 cubic feet in a cubic yard.

66.6 cubic feet / 27 cubic feet/cubic yard = 2.5 cubic yards.

Good luck.

Paul

Apr 15, 2016 | Office Equipment & Supplies

### How many cubic yards would it take to fill in. 20' x 2' diameter

Hi Paula:
A mathematical logic question.
You need to get all of the measurements in the same units.
- A cubic yard is 1 yard x 1 yard x 1 yard
- equals 3 ft x 3 ft x 3 ft
- equals 27 cubic feet,
so once you have the volume of the pipe in cubic feet, you divide by 27 to get the volume in cubic yards.
- Volume of a cylinder (the pipe) is the cross sectional area X length.
- Area equals Pi x r squared.
- equals 22/7 x 1 x 1
equals 3.14#####
times length (20)
equals 62.857### cubic feet volume
divide by 27 cubic feet
equals 2.328### cubic yards.

- The answer is always the easy part.
- what is important is knowing exactly what the question is, and
- determing what calculations are needed to get the answer.

Wasn't that better than if I'd just said 2 1/3 cubic yards?
Cheers

Jan 05, 2016 | Office Equipment & Supplies

### How many cubic yards are 2106 cubis feet

Imagine or draw a cubic yard. It has a length of 1 yard, a width of 1 yard, and a depth of 1 yard. Now each of these yards can be broken down into 3 feet, since there are 3 feet in a yard. Thus, a cubic yard has a length of 3 feet, a width of 3 feet, and a depth of 3 feet. We have 3 x 3 x 3 or 27 cubic feet in a cubic yard.

Next, take 2106 and divide by 27. The answer is 78 cubic yards.

Good luck.

Paul

Mar 14, 2015 | Office Equipment & Supplies

### How do i convert 60 tons of ashpalt to square yards

AC is approx. 145 lbs per cubic ft.
there are 27 cubic ft in 1 cubic yard
60 tons x 2000 = 120000 divided by 145 = 827.58 cubic ft divided by 27 = 30.65 cubic yards

square yards would depend on thickness of AC.
you can take thickness x sq ft to get cubic ft

in concrete 1 cubic yard =
4 inch thickness = 81 sq ft or 9 sq yrds
6 inch thickness = 54 sq ft or 6 sq yards

Feb 16, 2015 | Heating & Cooling

### Yards in a pile of gravel

There are 27 cubic feet in one yard. IF your estimate of pile size is correct, you have 720 cubic feet witch is 26 yards.

Jul 21, 2013 | Fish

### Diference between yd and cubic yd.

A yard is 1 dimensional so just a straight line.
A cubic yard is 3 dimensional so imagine a box with all sides being 1 yard long, the volume of this box is a cubic yard.

May 04, 2011 | Office Equipment & Supplies

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