1. Identify the formula for the lateral surface area of a circular cylinder:
A_{\text{lateral}} = 2 \pi r H
2. Substitute the given values for the height of the cylinder \( H = 5 \, \text{m} \) and the radius \( r = 4 \, \text{m} \) into the formula:
A_{\text{lateral}} = 2 \pi (4) (5)
3. Calculate the result:
A_{\text{lateral}} = 40 \pi \, \text{m}^2
So, the lateral surface area of the circular cylinder is 40 \pi \, \text{m}^2 .