A cylindrical container’s lateral surface is to be covered by a label. If the container’s diameter is 5 inches, and its height is 8 inches, how much paper is needed to create the label? A] 39.3 in^2. B] 82.5 in^2. .C] 126 in^2. D] 165 in^3

Respuesta :

By using the formula of lateral surface area of cylinder 
A=2πrhwhere
r=2.5 in 
h=8 in
putting the values in the given formula :
A= 2x3.14x2.5x8
A=126 in^2

Answer:

Option C  [tex]126\ in^{2}[/tex]

Step-by-step explanation:

we know that

The lateral surface area of the cylinder is equal to

[tex]LA=2\pi rh[/tex]

In this problem we have

[tex]r=5/2=2.5\ in[/tex] -----> the radius is half the diameter

[tex]h=8\ in[/tex]

substitute

[tex]LA=2\pi (2.5)(8)=126\ in^{2}[/tex]

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