316 QUEENSLAND AGRICULTURAL JOURNAL. [1 Nov., 1902. 
HOW TO MEASURE A STACK. 
To Finp tHE Oonrent or a Rounp Sracx. 
Where very great accuracy is not required, the content is sometimes found by 
taking the height of the stack from the ground to the eaves, and adding to this the 
third of the height from the eaves to the crown—the sum of these by the mean girth 
gives the cubic content. 
The content thus found is less than the truth, but the loss is not great, seeing that 
the stack is not so dense at the top as at the bottom. 
To Finp tHe Mean Girth wHen THe Stack Tapers Reaunarty to tHe Eaves. 
Add together the girth taken at the bottom of the stack and the girth taken at 
the eaves, both in feet; then half the sum is the mean girth. When the stack does 
not taper regularly, girths must be taken in several places and added together, and 
their sum divided by the number of girths taken; the quotient is the mean girth. 
Then, with the mean girth found in one of these ways and the height of the stack from 
the ground to the eaves, find the content of this portion of the stack. 
Next find the content of the top portion or roof by taking the girth at the eaves 
multiplied by the perpendicular height from the eaves to the crown of the stuck, the 
third part of which is to be added to the content of the body portion already found, 
and their sum shows the content of the stack in solid yards and feet. 
ExampiE :—Kequired the solid content cf a circular stack, the girth at the bottom 
being 56 feet, the girth at the eaves 63 feet, the perpendicular height from the ground 
to the eaves 12 feet, and the perpendicular height from the eaves to the crown of the 
stack 9 leet. 
Content of the Lower Portion of the Stack. 
Add together the two girths, 56 and 63 =119, half of which is 59} feet—the 
mean girth. 
Square this mean girth, and we have— 
59°5 X 59°5 = 3,510°25, which is the area of the base. 
Now multiply this area by 10, and divide by 125 (or multiply by -08 or roughly 
by +3)-- 
eS 3,540°25 X 10 = 35,402°5 35,402°5 + 125 = 283'2. 
Multiply this by the height of the stack (12 fect}— 
2x3'2 x 12 = 3,398°4 cubic feet; 
which, reduced to cubic yards (27 cubic feet = 1 cubic yard), gives us 125 cubic yards 
as the soiid content of tie lower portion of the stack. 
We now have to caleulate— 
The Content of the Roof. 
Square the girth at the eaves (63 feet)— 
63 X 63 = 3,969. 
Multiply by 10 — 
eid 3,969 x 10 = 39,690. 
Divide by 125— 
39,690 = 125 = 317-52. 
Multiply by % of the perpendicular height of the roof (9 feet): + of 9 = 3. 
Then, 31752 x 3 = 35°28 cubic yards. 
Thus the whole stack is shown to contain— 
In the lower portion... 3 ... 125 cubic yards 
ay Wyse” at He ... 35% about 
160} cubic yards 
To CaLcuLarTE THE ConTEeNT or aN Oxnona Srack. 
Suppose our stack ts have the following dimensions :—Length, 50 feet ; breadth 
at the eaves, 17 feet; at the bottom, 12 feet; perpendicular height from the ground 
to the eaves, 13 feet; and’ from the eaves to the ridge of the stack, 7 feet. The 
following calculation will give the contents in cubic feet :— 
Get the mean breadth by adding together the breadth at the eaves and the 
breadth at the base, and divide by 4. That is— 
Hla _ 2 = 14°65, the mean breadth. 
Multiply by the vertical height (13 feet) :— 
145 x 13 = 188'5 square feet, area of lower portion. 
