Final answer:
The volume of the cylindrical barrel can be calculated using the formula V = πr²h. With a diameter of 23.25 inches and height of 34.9 inches, the calculated volume is approximately 14807.91 cubic inches.
Step-by-step explanation:
To calculate the volume of a cylindrical barrel, we use the formula V = πr²h, where V represents volume, r the radius, and h the height of the cylinder. Since the diameter is given to be 23.25 inches, the radius is half of that, which is approximately 11.625 inches. The height is given as 34.9 inches.
First, we square the radius:
- r² = (11.625)^2 = 135.140625
Then we multiply by π and the height:
- V = π × 135.140625 × 34.9
- V ≈ 3.14159 × 135.140625 × 34.9
- V ≈ 14807.91 cubic inches
The volume of the barrel in cubic inches is approximately 14807.91.