Example Calculation

Diameter: 6.7056 meters
Height: 15.24 meters
Slope of Roof: 30 degrees
Bushel Weight: 27.2155 kg/hL

Convert the slope from degrees to radians:

Slope in radians = 30° * p/180 = 0.5236 radians

The radius is half the diameter: Radius(r) = 6.7056 = 3.3528 metres

Peak Height

Using the slope and the radius: Peak Height tan(0.5236) * 3.3528 = 1.9377 metres

Cone Volume

Cone Volume (Vco) = 1/3 * π * r² * Peak Height

Vco = 1/3 * π * (3.3528)² * 1.9377 = 22.90 m³

Base volume

Base Volume (Vcyl) = π * r² * h

Vcyl  = π * (3.3528)² * 15.24 = π * 11.24 * 15.24 = 538.10m³

Total Volume V(tot): Vco + Vcyl

Vtot  = 538.10 + 22.90 = 561.0 m³

Convert Total Volume to Bushels:

one cubic meter equals approximately 27.496 Imperial Bushels (Avery):

561.0 * 27.496 = 15425 Avery Bushels

one cubic meter equals approximately 28.377 Winchester Bushels (US):

561.0 * 28.377 = 15920 Winchester Bushels

Weight Calculation

Bushel weight in kg per hectolitre : Weight = Avery Bushels * 27.2155 kg/hl = 15425.2 * 27.2155 = 419804 kg

Convert Weight to Metric Tons:

1 metric ton = 1000 kilograms

Metric Tons=419804 ÷ 1000 = 419.8 metric tons

Results:

Peak height: 1.9377 metres
Total Volume: 561.0 m³
Avery Bushels: 15425.2 bu (Imperial Avery)
Winchester Bushels: 15891 bu (Winchester US)
Weight: 419804 kg
Metric Tons: 419.8 tonnes

This tool comprehensively calculates grain bin capacity and weight in Avery and Winchester bushels, using metric measurements to increase flexibility in global contexts.

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