Question

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

Answer 1

Option C
`126\ in^(2)`

Explanation:

we know that

The lateral surface area of the cylinder is equal to

`LA=2\pi rh`

In this problem we have

`r=5/2=2.5\ in` -----> the radius is half the diameter

`h=8\ in`

substitute

`LA=2\pi (2.5)(8)=126\ in^(2)`

Answer 2

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