Respuesta :

Answer:

2πrh+2πr²

Step-by-step explanation:

r=radius (of the circle, top/bottom)

h=height of cylinder

Answer:

2[tex]/pi[/tex]r^2+2[tex]/pi[/tex]r

Step-by-step explanation:

There are two parts to a cylinder:

The 2 bases

Lateral Area.

Since the lateral area is around the 2 bases, the length of it is 2[tex]/pi[/tex]r because that’s the circumference of the base. Since the height of the lateral area is the height of the cylinder, the lateral area is 2[tex]/pi[/tex]rh.

Since the area of a circle is [tex]/pi[/tex]r^2, we multiply it by 2 since there are 2 bases and get 2[tex]/pi[/tex]r^2+2[tex]/pi[/tex]r.