Respuesta :
Height of cylinder is [tex]h=3.184in[/tex] .
Step-by-step explanation:
Here we have , A cylinder has a lateral surface area of about 80 square inches. We need to find What is the height of the cylinder if the radius is 4 inches . Let's find out:
We know that lateral surface area of cylinder = [tex]2\pi rh[/tex] , Dimensions are as
[tex](Lateral)area = 80in^2\\radius =r=4in\\height= ?[/tex]
Putting value of these in [tex]2\pi rh[/tex] we get:
⇒ [tex]2\pi rh=80[/tex]
⇒ [tex]\frac{2\pi rh}{2\pi r}=\frac{80}{2\pi r}[/tex]
⇒ [tex]h=\frac{80}{2\pi r}[/tex]
⇒ [tex]h=\frac{80}{2(3.14)( 4)}[/tex]
⇒ [tex]h=\frac{80}{25.12}[/tex]
⇒ [tex]h=3.184in[/tex]
Therefore , Height of cylinder is [tex]h=3.184in[/tex] .
