A baker needs to cover cylinder cake with icing the cake has a radius of 5 inches of 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

Answer 1

To find the surface area of the cylinder (which represents the amount of icing needed to cover the sides and top of the cake), we need to calculate the lateral surface area and the area of the top.

The lateral surface area of a cylinder can be calculated by multiplying the height by the circumference of the base. The circumference is equal to 2πr (where π is approximately 3.14 and r is the radius), so the lateral surface area is:
Lateral Surface Area = height * circumference = 7 * 2π * 5 = 7 * 2 * 3.14 * 5 = 219.8 square inches.

The area of the top of the cake is equal to the area of a circle, which can be calculated by multiplying πr^2 (where π is approximately 3.14 and r is the radius), so the area of the top is:
Area of Top = π * r^2 = 3.14 * 5^2 = 3.14 * 25 = 78.5 square inches.

Finally, to find the total amount of icing needed to cover the sides and top of the cake, we sum up the lateral surface area and the area of the top:
Total Icing needed = Lateral Surface Area + Area of Top = 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.