Qwert wrote:nietzsche wrote:Qwert wrote:bernie i need to put this tree down because its not healty..
risklama i plant this tree for ornament purposes, and now will be food for fire in winter.
i have big yard some 3500 m2 and i dont have only popplar,i have a lot of diferent trees planted.
just to name few
1 ginko
20 to 30 black locust
4 poplar
2 silver birch
1 weeping willow
1 horse chesnuts
3-4 field elm
2 tilia
4 pine (dont know what species)
and some more to .......
(also have many diferent fruit plants to)
Sometimes tree need to be cut bernie.
what represent 1/2 , and what are 15?
(1/2*1/2 * 3.14 * 15) / 3 = 3.9 m3
1m diameter so 1/2m (0.5m) radius
15mt is what a cone height would be given that it takes 12mt from 1mt to 20cm (considering a perfect uniform taper).. so if it takes 12m to do 80% of the way up, it takes 15mt to do 100%.
the formula of the cone volume is area of the base * height, divided by 3
area of the base is pi * radius^2
oh,i think that understand, so before calculation, need to diameter from bout side put together and then to divide by 2.
So my example from first post will look like this:
0.6x0.6x3.14x12/3=4.5 m3
right?
no, the numbers i posted were not an example, they were for your case.
diameter of the base: 1m
diameter at the top 0.2m
height 12m
to use the formula of the cone (because it's an easy formula that i happen to remember) I had to add an imaginary last part at the top, the vertex. that part would be a small cone itself, from 0.2mt to 0m (the vertex). I say imaginary because it's not included in the data you provide, but I guess the top of the tree does have a vertex.
So i need to know how tall would be the cone now, we know that from 1m to 0.2m it takes 12 mt, and since we're imagining a uniform taper, it should be proportional. From 1m to 0.2m is 80%, so
12m --- 80
? --------100
x=12x100/80 = 15m
so with the height of the cone use the formula for the volume of the cone
(
area *
height) / 3
(
π * radius² (of the base) *
15) / 3
(
3.14 * 0.5² *
15) / 3
= 3.925m³
now if you remember, we added an imaginary cone of 0.2m of base and 3m of height, the volume of this cone is negligible, and given that all this is only an approximation, it shouldn't matter, but if you want you can calculate its volume to substract it you can.
diameter of the base 0.2m (0.1 radius)
height 3m
(3.14 * 0.1² * 3 ) / 3 = 0.0314m³ or
31,400cm³ so 3.925m³ of the cone with the imaginary part we added so we can use the cone formula.. minus the 0.0314m³ of that imaginary part's volume at the top, is 3.89m³.
sorry if this is more confusing than using Dukasaur's formula. to my head it's easier to think this way.
edit: corrected
red