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 pi and round your answer to the nearest tenth. (1 point)
The area of the sides of the cake can be calculated using the formula for the lateral surface area of a cylinder, which is given by:
Lateral surface area = 2 * pi * radius * height
Substituting the given values, we have:
Lateral surface area = 2 * 3.14 * 5 * 7 = 219.8 square inches.
The area of the top of the cake is given by the formula for the area of a circle, which is given by:
Area of a circle = pi * radius^2
Substituting the given value, we have:
Area of top = 3.14 * 5^2 = 78.5 square inches.
Therefore, the total area of icing needed to cover the sides and top of the cake is:
Total area = Lateral surface area + Area of top
= 219.8 + 78.5
= 298.3 square inches.
Rounded to the nearest tenth, the baker will need approximately 298.3 square inches of icing.