Answer:
113.1 unit²
Step-by-step explanation:
A cylinder is a shape with two round ends and two parallel lines connecting the round ends.
Height=9 unit, Base=4 unit
The lateral surface area of a cylinder (A) is given by the equation:
[tex]A=2\pi rh[/tex]
where r is the radius of the cylinder and h is the height of the cylinder.
Given that the base = 4 unit, therefore the diameter (d) = base = 4 unit. Also the height (h) = 9 unit.
Radius (r) = d/2 = 4/2 = 2 unit
Calculating the area of the cylinder is as follows
[tex]A=2\pi rh\\A=2\pi*2*9\\A=113.1[/tex]
The area of the cylinder is 113.1 unit²
