Answer:
or
![201.06\ units^2](https://img.qammunity.org/2020/formulas/mathematics/middle-school/8wld2sbb31uvzop81ud5rsbwiroxav10uu.png)
Explanation:
The formula that is used to calculate the Lateral surface area (LSA) of a cylinder is:
![LSA=2\pi rh](https://img.qammunity.org/2020/formulas/mathematics/middle-school/iw1cl1x4fa046gwwxkq1llzm651fwl3t7e.png)
Being the radius of the cylinder r and the height of the cylinder h.
Knowing tha radius 8 units and the height 4 units, you can substitute values into the formula
.
Therefore, the Lateral surface area of the cylinder with radius 8 and height 4 is:
![LSA=2\pi (8units)(4units)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/x13w4wwdby24j56anjrw6milh9e6bvsbvh.png)
![LSA=64\pi\ units^2=201.06\ units^2](https://img.qammunity.org/2020/formulas/mathematics/middle-school/ygzzep9zw5m3napxhyohyb0tdpgw8e350h.png)