Answer:
We are given a height and radius for a cylinder and we must determine what the surface area is. Surface area is the area that is showing all around the shape. So it would include the area of the top and bottom circles and also the entire strap around the cylinder. Using the equation below we can find the surface area.
[tex]S = 2\pi rh+2\pi r^2[/tex]
[tex]S = 2\pi (12\ cm)(35 cm)+2\pi (12\ cm)^2[/tex]
[tex]S = 840\ cm^2*\pi+288\ cm^2*\pi[/tex]
[tex]S = 2,638.938\ cm^2+904.779\ cm^2[/tex]
[tex]S = 3543.717\ cm^2[/tex]
In the end, after inputting all of the values and solving, we get that the surface area for this cylinder is [tex]3543.717\ cm^2[/tex]
Hope this helps!
