Question

a food manufacturing company is creating a new label for a canned food item. the can has a radius of 4 cm and a height of 8 cm. the label does not cover the top or bottom of the can, and it is cut to match the height with no overlap. what is the area of the label? 32π cm² 64π cm² 80π cm² 256π cm²

Explanation:

Step1: Recall lateral - surface area formula

The label area of the can is the lateral - surface area of the cylinder. The formula for the lateral - surface area of a cylinder is $A = 2\pi rh$, where $r$ is the radius and $h$ is the height.

Step2: Substitute given values

Given $r = 4$ cm and $h = 8$ cm. Substitute these values into the formula: $A=2\pi\times4\times8$.

Step3: Calculate the result

$A = 64\pi$ $cm^{2}$.

Answer:

$64\pi$ $cm^{2}$