Respuesta :

Answer: [tex]64\pi\ units^2[/tex] or [tex]201.06\ units^2[/tex]

Step-by-step explanation:

The formula that is used to calculate the Lateral surface area (LSA) of a cylinder is:

[tex]LSA=2\pi rh[/tex]

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  [tex]LSA=2\pi rh[/tex].

Therefore, the Lateral surface area of the cylinder with radius 8 and height 4 is:

 [tex]LSA=2\pi (8units)(4units)[/tex]

[tex]LSA=64\pi\ units^2=201.06\ units^2[/tex]

Answer:

64π square units

Step-by-step explanation:

the formula for finding the lateral surface area of a cylinder is 2πrh

so if you substitute the variables with the numbers, you get,

2π8*4=64π