Question

A food manufacturing company is creating a new label for a canned food item. The can has a radius of 3 cm and a height of 9 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?

1) 54�� cm2
2) 162�� cm2
3) 27�� cm2
4) 63�� cm2

Answer 1

The area of the label is 54π cm².

Step-by-step explanation:

To find the area of the label, we need to determine the lateral surface area of the can. The formula for the lateral surface area of a cylinder is given by A = 2πrh, where r is the radius of the base and h is the height of the cylinder. In this case, the radius is 3 cm and the height is 9 cm. Plugging these values into the formula, we get A = 2π(3 cm)(9 cm) = 54π cm². Since the label does not cover the top or bottom of the can, the total area of the label is equal to the lateral surface area, which is 54π cm².