Answer:
40 π units
Step-by-step explanation:
The formula for the lateral area of a cylinder is:
[tex]\begin{framed}\[\text{~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~Lateral Area} = 2 \pi r h\]\\\\Where:\\\\\begin{array}{l l}\text{Lateral Area} & \text{The surface area of the side of the cylinder} \\\pi & \text{Pi, a mathematical constant approximately equal to } 3.1415 \\r & \text{The radius of the base of the cylinder} \\h & \text{The height of the cylinder}\end{array}\end{framed}\end{document}[/tex]
Since we are given the height and the radius we can plug this information into the equation above to get the Lateral Area.
Solving:
[tex]\text{Lateral Area} = 2 \pi (4) (5)\\\\\text{Lateral Area} = 2 \pi \times 20\\\\\text{Lateral Area} = 40 \pi\\\\[/tex]
So the Lateral Area is 40 π.