Cone Volume
Cone Volume
The volume of a cone is exactly a third of the cylinder that contains it — useful for hoppers, piles and funnels.
The volume is V = π·r²·h/3. where r is the base radius and h the height.
Inputs
r := 0.3 m=300 mm
h := 0.9 m=900 mm
Apply the cone-volume formula.
V := pi·r^2·h/3=0.08 m^3
Results
A conical stockpile or hopper holds a third of the equivalent cylinder. The same formula sizes funnels and the conical bottoms of tanks.
Assumptions & limitations
- Right circular cone.
- Apex above the base centre.
- Solid volume.