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 p and round your answer to the nearest tenth. (point).
To calculate the surface area of the sides of the cake, we need to find the circumference of the circle formed by the base of the cake and multiply it by the height of the cake. The circumference can be found using the formula:
C = 2 * π * r
Where C is the circumference, π is approximately 3.14, and r is the radius of the base of the cake.
C = 2 * 3.14 * 5
C ≈ 31.4 inches
To calculate the surface area of the top of the cake, we need to find the area of the circle formed by the base of the cake. The area can be found using the formula:
A = π * r^2
Where A is the area, π is approximately 3.14, and r is the radius of the base of the cake.
A = 3.14 * 5^2
A ≈ 78.5 square inches
The surface area of the sides and top of the cake is the sum of the surface area of the sides and the surface area of the top.
Surface area = Sides surface area + Top surface area
Surface area ≈ 31.4 + 78.5
Surface area ≈ 109.9 square inches
So, approximately 109.9 square inches of icing will be needed to cover the sides and top of the cake.