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 pi and round your answer to the nearest tenth.
To find the surface area of the sides of the cake, we need to find the circumference of the top of the cake and multiply it by the height of the cake.
The circumference of the top of the cake is 2 * pi * r = 2 * 3.14 * 5 = 31.4 inches.
Therefore, the surface area of the sides of the cake is 31.4 * 7 = 219.8 square inches.
To find the surface area of the top of the cake, we need to find the area of a circle with a radius of 5 inches.
The area of a circle is pi * r^2 = 3.14 * 5^2 = 3.14 * 25 = 78.5 square inches.
Therefore, the total surface area of the sides and top of the cake is 219.8 + 78.5 = 298.3 square inches.