Respuesta :

Answer:

48π square units

Step-by-step explanation:

The lateral surface area of a cylinder is = 2 π r h.

Where h = 6, r = 4 (from the figure)

Then the lateral surface area is: 2*6*4*π = 48π square units

For this case we have that by definition, the lateral area of a cylinder is given by:

[tex]A_ {l} = 2 * \pi * r * h[/tex]

Where:

A: It is the radius of the cylinder

h: It's the height

[tex]r = 4 \ units\\h = 6 \ units[/tex]

Substituting we have:

[tex]A_ {l} = 2 * \pi * 4 * 6\\A_ {l} = 48 \pi \ units ^ 2[/tex]

Answer:

[tex]48 \pi \ units ^ 2[/tex]

Option B