Final answer:
The radius of the cylinder is approximately 40.988 inches.
Step-by-step explanation:
To find the radius of the cylinder, we can rearrange the formula for the volume of a cylinder:
V = πr²h
Since we know the volume (169 in³) and the height (1 in), we can plug in these values and solve for the radius:
169 = πr²(1)
r² = 169/π
r ≈ √(169/π)
r ≈ √169 × √(π)
r ≈ 13 × √(π)
r ≈ 13 × 3.142
r ≈ 40.988 in
Therefore, the radius of the cylinder is approximately 40.988 inches.