Convert US dry gallon to US beer barrel
Unit definitions
US dry gallon
The US dry gallon is a unit of volume in the US Customary system, specifically used for dry goods like fruits, vegetables, and grains. It is equal to $268.8025$ cubic inches.
US beer barrel
The US beer barrel is defined as exactly $31$ US liquid gallons.
How to convert US dry gallon to US beer barrel
$$\text{Volume}_{\text{bbl (beer)}} = \text{Volume}_{\text{gal (dry) (us)}} \cdot 0.03753700600474794023181119955313504$$
Examples
Example 1
Convert $20.0\ \text{gal (dry) (us)}$ to $\text{bbl (beer)}$.
$$\text{Volume}_{\text{bbl (beer)}} = 20.0 \cdot 0.03753700600474794023181119955313504$$
$$\text{Volume}_{\text{bbl (beer)}} = 0.75074$$
$$\therefore \ 20.0\ \text{gal (dry) (us)} = 0.75074 \ \text{bbl (beer)}$$
Example 2
Convert $90.0\ \text{gal (dry) (us)}$ to $\text{bbl (beer)}$.
$$\text{Volume}_{\text{bbl (beer)}} = 90.0 \cdot 0.03753700600474794023181119955313504$$
$$\text{Volume}_{\text{bbl (beer)}} = 3.378331$$
$$\therefore \ 90.0\ \text{gal (dry) (us)} = 3.378331 \ \text{bbl (beer)}$$
Example 3
Convert $105.0\ \text{gal (dry) (us)}$ to $\text{bbl (beer)}$.
$$\text{Volume}_{\text{bbl (beer)}} = 105.0 \cdot 0.03753700600474794023181119955313504$$
$$\text{Volume}_{\text{bbl (beer)}} = 3.941386$$
$$\therefore \ 105.0\ \text{gal (dry) (us)} = 3.941386 \ \text{bbl (beer)}$$
Example 4
Convert $150.0\ \text{gal (dry) (us)}$ to $\text{bbl (beer)}$.
$$\text{Volume}_{\text{bbl (beer)}} = 150.0 \cdot 0.03753700600474794023181119955313504$$
$$\text{Volume}_{\text{bbl (beer)}} = 5.630551$$
$$\therefore \ 150.0\ \text{gal (dry) (us)} = 5.630551 \ \text{bbl (beer)}$$
Example 5
Convert $200.0\ \text{gal (dry) (us)}$ to $\text{bbl (beer)}$.
$$\text{Volume}_{\text{bbl (beer)}} = 200.0 \cdot 0.03753700600474794023181119955313504$$
$$\text{Volume}_{\text{bbl (beer)}} = 7.507401$$
$$\therefore \ 200.0\ \text{gal (dry) (us)} = 7.507401 \ \text{bbl (beer)}$$