A baker needs to cover a cylinder cake with icing. The cake has a radius of 5 inches and a height of 7 inches. How many square inches of icing will be needed to cover the sides and top of the cake? Icing will not be added to the bottom of the cake. Use 3.14 for pie and round your answer to the nearest 10th.

1 answer

To find the total surface area that needs to be covered in icing, we first need to calculate the lateral surface area of the cylinder and the surface area of the top.

Lateral surface area:
= 2 * π * radius * height
= 2 * 3.14 * 5 * 7
= 219.8 square inches

Surface area of the top:
= π * radius^2
= 3.14 * 5^2
= 78.5 square inches

Total surface area = Lateral surface area + Surface area of the top
= 219.8 + 78.5
= 298.3 square inches

Therefore, the baker will need approximately 298.3 square inches of icing to cover the sides and top of the cake.