Variables
Description
What is this formula?
The Hopper Volume equation calculates the storage volume of a conical hopper commonly used at the bottom of grain silos and bulk material storage structures.
When to use it
Use this formula when estimating grain storage capacity, residual inventory, discharge volumes, or hopper sizing in agricultural storage facilities.
Example
Given:
D = 5 m
Hh = 4 m
Formula:
V = (π × D² × Hh) / 12
Substitution:
V = (π × 5² × 4) / 12
V = 26.18 m³
Result:
The hopper volume is approximately 26.18 m³.
Applications
- Grain silos
- Feed storage systems
- Bulk material handling
- Hopper design
- Agricultural storage engineering
Note
This equation assumes a perfect right circular cone. Real hopper geometries may include outlet openings, truncated cones, flow inserts, or transition sections that modify the actual storage volume.