A can of carrots has a diameter of 2.5 inches and a height of 3.5 inches. How many square inches of paper will be needed for the label on the outside of the can? Use 3.14 for pi and round your answer to the nearest inch.

Question

Responses

24 in.2

27 in.2

35 in.2

67 in.2

Answer 1

To find the surface area of the label, we need to find the lateral surface area of the can.

The lateral surface area of a cylinder can be found using the formula:

Lateral Surface Area = circumference of the base x height

The circumference of the base can be found using the formula:

Circumference = diameter x pi

Let's calculate:

Circumference = 2.5 inches x 3.14 = 7.85 inches (approximately)

Lateral Surface Area = 7.85 inches x 3.5 inches = 27.48 inches (approximately)

Rounding to the nearest inch, we get 27 in.2

Therefore, the correct answer is 27 in.2.