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
To find the surface area of the sides and top of the cake, we need to find the area of the curved surface and the area of the top surface separately.
The curved surface area can be found using the formula for the lateral surface area of a cylinder, which is given by the formula:
lateral surface area = 2πrh
where r is the radius of the base of the cylinder and h is the height of the cylinder.
So, the curved surface area = 2 * 3.14 * 5 * 7 = 219.8 square inches.
To find the area of the top surface, we need to find the area of a circle with a radius of 5 inches.
The area of a circle is given by the formula:
area = πr^2
So, the area of the top surface = 3.14 * 5^2 = 78.5 square inches.
The total surface area of the sides and top of the cake = curved surface area + area of top surface = 219.8 + 78.5 = 298.3 square inches.
Therefore, approximately 298.3 square inches of icing will be needed to cover the sides and top of the cake.