Question

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?

Answer 1

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