Final answer:
The lens diameter is approximately 6.81 cm.
Step-by-step explanation:
To determine the lens diameter, we need to use the formula for the f-number (f/#), which is the ratio of the focal length to the diameter of the lens.
We are given that the focal length is 0.545 m and the f-number is 8. Rearranging the formula, we have:
diameter = focal length / f-number
Substituting the given values, we get:
diameter = 0.545 m / 8
diameter = 0.068125 m
Therefore, the lens diameter is approximately 0.068125 m, or 6.81 cm.