The bushel is a volume measurement and a unit of weight used with various commodities. The United States uses the Winchester bushel, which has a volume equal to 1.244456 cubic feet. In comparison, Canada uses the Imperial ( Avery) bushel, which has a slightly larger volume of 1.284349 cubic feet.
The weight of a bushel is a measure of the grain's density, usually expressed in pounds per bushel (lb/bu) and kilograms per hectolitre (kg/hL).
π(D/2)²H
π(D/2)²H/3
where π = 3.141593 D = diameter H = height
one bushel (bu) US = 1.245 cubic feet (ft³) one cubic foot (ft³) = 0.8036 bushels (bu) US one pound (lb) = 0.0004114 short tons (tn short) one pound (lb ) = 0.00045359237 metric tonnes (t)
Bin height 30 feet diameter is 40 feet roof slope is 0 degrees (level) the grain type is wheat @ 60 lbs per bushel
Calculate the volume of the bin;
3.141593 * (40 ÷ 2) ² * 30 3.141593 * 400 * 30 = 37699
This grain bin has a volume of 37699 cubic feet.
Calculate the capacity by multiplying the cubic feet by 0.8036;
37699 * 0.8036 = 30295 (rounded up)
This bin can hold 30295 US bushels. (Winchester measure)
Multiply the number of bushels by the bushel weight of 60 lbs
30295 * 60 = 1817695 (rounded up)
This bin can hold 1817695 pounds of wheat.
Convert the pounds to metric tonnes by multiplying by 0.00045359237;
1817695 * 0.00045359237 = 824.49258298715
This bin can hold 824.49 metric tonnes of wheat.