Given:
Radius of a cylinder = 2 cm
Height of the cylinder = 10 cm
To find:
The surface area of the cylinder.
Solution:
The total surface area of the cylinder is:
[tex]A=2\pi rh+2\pi r^2[/tex]
Where, r is the radius and h is the height of the cylinder.
Putting [tex]r=2[/tex] and [tex]h=10[/tex] in the above formula, we get
[tex]A=2\pi (2)(10)+2\pi (2)^2[/tex]
[tex]A=40\pi +2\pi (4)[/tex]
[tex]A=40\pi +8\pi [/tex]
[tex]A=48\pi [/tex]
Therefore, the surface area of the cylinder is [tex]48\pi [/tex] square cm and its approximate value is 150.8 square cm.
