Super-yummy soup, inc. wants to paint their entire soup can red, including the top and bottom. if the diameter of the lid is 5 cm, and the height of the can is 9 cm, what is the approximate total surface area that will need to be painted?

The total surface area of the soup can would be equivalent to the sum of the surface area of the 2 covers plus the surface area of the side.

Surface area of the 2 covers = 2 π r^2

Surface area of the 2 covers = 2 π (2.5 cm)^2

Surface area of the 2 covers = 39.27 cm^2

Surface area of the side = 2 π r h

Surface area of the side = 2 π (2.5 cm) (9 cm)

Surface area of the side = 141.37 cm^2

Total surface area = 39.27 cm^2 + 141.37 cm^2

Total surface area = 180.64 cm^2