Convert US beer barrel to US dry barrel
Unit definitions
US beer barrel
The US beer barrel is defined as exactly $31$ US liquid gallons.
US dry barrel
The US dry barrel is equal to exactly $7\,056$ cubic inches.
How to convert US beer barrel to US dry barrel
$$\text{Volume}_{\text{bbl (dry) (us)}} = \text{Volume}_{\text{bbl (beer)}} \cdot 1.014880952380952380952380952380952$$
Examples
Example 1
Convert $45.0\ \text{bbl (beer)}$ to $\text{bbl (dry) (us)}$.
$$\text{Volume}_{\text{bbl (dry) (us)}} = 45.0 \cdot 1.014880952380952380952380952380952$$
$$\text{Volume}_{\text{bbl (dry) (us)}} = 45.669643$$
$$\therefore \ 45.0\ \text{bbl (beer)} = 45.669643 \ \text{bbl (dry) (us)}$$
Example 2
Convert $85.0\ \text{bbl (beer)}$ to $\text{bbl (dry) (us)}$.
$$\text{Volume}_{\text{bbl (dry) (us)}} = 85.0 \cdot 1.014880952380952380952380952380952$$
$$\text{Volume}_{\text{bbl (dry) (us)}} = 86.264881$$
$$\therefore \ 85.0\ \text{bbl (beer)} = 86.264881 \ \text{bbl (dry) (us)}$$
Example 3
Convert $100.0\ \text{bbl (beer)}$ to $\text{bbl (dry) (us)}$.
$$\text{Volume}_{\text{bbl (dry) (us)}} = 100.0 \cdot 1.014880952380952380952380952380952$$
$$\text{Volume}_{\text{bbl (dry) (us)}} = 101.488095$$
$$\therefore \ 100.0\ \text{bbl (beer)} = 101.488095 \ \text{bbl (dry) (us)}$$
Example 4
Convert $145.0\ \text{bbl (beer)}$ to $\text{bbl (dry) (us)}$.
$$\text{Volume}_{\text{bbl (dry) (us)}} = 145.0 \cdot 1.014880952380952380952380952380952$$
$$\text{Volume}_{\text{bbl (dry) (us)}} = 147.157738$$
$$\therefore \ 145.0\ \text{bbl (beer)} = 147.157738 \ \text{bbl (dry) (us)}$$
Example 5
Convert $170.0\ \text{bbl (beer)}$ to $\text{bbl (dry) (us)}$.
$$\text{Volume}_{\text{bbl (dry) (us)}} = 170.0 \cdot 1.014880952380952380952380952380952$$
$$\text{Volume}_{\text{bbl (dry) (us)}} = 172.529762$$
$$\therefore \ 170.0\ \text{bbl (beer)} = 172.529762 \ \text{bbl (dry) (us)}$$