Surface Area of Cylinder
The circumference of the base is 5.7
Step-by-step explanation:
The lateral surface of an object is defined as the area of all the sides of the object, excluding the area of its base and top.
A cylinder has two faces, two curved edges where the curved wall meets the end circles, and a curved surface stretching between the two circular ends.
For a cylinder, the lateral surface area is the curved surface that connects the base and the top.
The lateral surface area [tex]A_{L} = 2\pi rh\\[/tex]
where r is radius of the base of the cylinder
and h is height of the cylinder
and [tex]\pi[/tex] is 3.14
The circumference of the base of cylinder = C
where C = [tex]2\pi r\\[/tex]
Given [tex]A_{L}\\[/tex] = 34 and h = 6
⇒ [tex]A_{L}\\\\[/tex] = C × h
⇒ [tex]C = \frac{A_{L}}{h}[/tex]
⇒ C = [tex]\frac{34}{6}[/tex] = 5.7
Hence the circumference of the base of the cylinder is 5.7
