A can of beans has a radius of 3 inches and a height of 4.5 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.(1 point)

Question

Responses

24 in.2
24 in.2

42 in.2
42 in.2

80 in.2
80 in.2

85 in.2

Answer 1

To find the surface area of the can, we need to calculate the area of the curved surface (lateral area) and the area of the circular base.

Area of the curved surface = circumference of the base (2πr) multiplied by the height
= 2 * 3.14 * 3 * 4.5
= 85.38 square inches

Area of the circular base = πr^2
= 3.14 * 3^2
= 28.26 square inches

Total surface area = curved surface area + 2 * circular base area
= 85.38 + 2 * 28.26
= 141.90 square inches

Rounded to the nearest inch, the label will require 142 square inches of paper.