Answer:
The correct option is C. 126 in²
Step-by-step explanation:
Diameter of the container = 5 inches
⇒ radius of the container = 2.5 inches
Height of the container = 8 inches
To find how much paper is needed to create the label : We need to find the lateral surface area of the cylindrical shaped container
Lateral Surface Area of Cylinder = 2·π × radius × height
= 2 × 3.14 × 2.5 × 8
= 125.66 square inches
≈ 126 square inches
Hence, 126 square inches of paper is needed to create the label.
So, The correct option is C. 126 in²
Given is :
The lateral area of a cylinder is to be covered by a label.
The lateral surface area of a cylinder is calculated by the following formula:
[tex]2\pi rh[/tex]
Here r = radius and h= height of the cylinder
Now diameter = 5 inches.
So, radius = [tex]\frac{5}{2}=2.5[/tex]
Height = 8 inches
Hence, surface area = [tex]2*3.14*2.5*8=125.66[/tex] or can be rounder off to 126 square inches. So, this much paper is needed.
Hence, option C = 126 square inches is the answer.
