Measurement |
H |
D |
R |
C |
A |
V1 |
V2 |
V3 |
V4 |
1 |
0.0 |
4.8 |
2.4 |
15.1 |
18.1 |
|
|
|
|
2 |
4.5 |
4.1 |
2.1 |
12.9 |
13.2 |
70.1 |
70.1 |
70.1 |
70.13213 |
3 |
9.0 |
3.9 |
2.0 |
12.3 |
11.9 |
56.6 |
56.6 |
56.6 |
56.56045 |
4 |
20.0 |
3.2 |
1.6 |
10.1 |
8.0 |
109.2 |
109.2 |
109.2 |
109.2306 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Computationally
Equivalent Forms of Formula for Volume of Frustum of Cone |
|
|
|
|
|
|
|
|
|
|
|
|
V1 = H/3 * [A1 + A2 + SQRT(A1*A2)] |
(Based on area) |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
V2 = [(H/(12*pi)] *
[C1^2
+ C2^2
+ C1*C2] |
(Based on circumference) |
|
|
|
|
|
|
|
|
|
|
|
|
|
V3 = [(H*pi/12) * [D1^2 + D2^2 + D1*D2] |
(Based on diameter) |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
V4 = [pi*H/3] * [(R1^3-R2^3)/(R1-R2)] |
(Based on radius) |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
A=Area |
|
|
|
|
|
|
|
|
|
C=Circumference |
|
|
|
|
|
|
|
|
D=Diameter |
|
|
|
|
|
|
|
|
|
R=Radius |
|
|
|
|
|
|
|
|
|
H=Height above
base |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|