Convert US dry barrel to US beer barrel
Unit definitions
US dry barrel
The US dry barrel is equal to exactly $7\,056$ cubic inches.
US beer barrel
The US beer barrel is defined as exactly $31$ US liquid gallons.
How to convert US dry barrel to US beer barrel
$$\text{Volume}_{\text{bbl (beer)}} = \text{Volume}_{\text{bbl (dry) (us)}} \cdot 0.9853372434017595307917888563049853$$
Examples
Example 1
Convert $25.0\ \text{bbl (dry) (us)}$ to $\text{bbl (beer)}$.
$$\text{Volume}_{\text{bbl (beer)}} = 25.0 \cdot 0.9853372434017595307917888563049853$$
$$\text{Volume}_{\text{bbl (beer)}} = 24.633431$$
$$\therefore \ 25.0\ \text{bbl (dry) (us)} = 24.633431 \ \text{bbl (beer)}$$
Example 2
Convert $75.0\ \text{bbl (dry) (us)}$ to $\text{bbl (beer)}$.
$$\text{Volume}_{\text{bbl (beer)}} = 75.0 \cdot 0.9853372434017595307917888563049853$$
$$\text{Volume}_{\text{bbl (beer)}} = 73.900293$$
$$\therefore \ 75.0\ \text{bbl (dry) (us)} = 73.900293 \ \text{bbl (beer)}$$
Example 3
Convert $110.0\ \text{bbl (dry) (us)}$ to $\text{bbl (beer)}$.
$$\text{Volume}_{\text{bbl (beer)}} = 110.0 \cdot 0.9853372434017595307917888563049853$$
$$\text{Volume}_{\text{bbl (beer)}} = 108.387097$$
$$\therefore \ 110.0\ \text{bbl (dry) (us)} = 108.387097 \ \text{bbl (beer)}$$
Example 4
Convert $140.0\ \text{bbl (dry) (us)}$ to $\text{bbl (beer)}$.
$$\text{Volume}_{\text{bbl (beer)}} = 140.0 \cdot 0.9853372434017595307917888563049853$$
$$\text{Volume}_{\text{bbl (beer)}} = 137.947214$$
$$\therefore \ 140.0\ \text{bbl (dry) (us)} = 137.947214 \ \text{bbl (beer)}$$
Example 5
Convert $185.0\ \text{bbl (dry) (us)}$ to $\text{bbl (beer)}$.
$$\text{Volume}_{\text{bbl (beer)}} = 185.0 \cdot 0.9853372434017595307917888563049853$$
$$\text{Volume}_{\text{bbl (beer)}} = 182.28739$$
$$\therefore \ 185.0\ \text{bbl (dry) (us)} = 182.28739 \ \text{bbl (beer)}$$