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)

1 answer

The area of the sides of the cake can be found by multiplying the height of the cake (7 inches) by the circumference of the base of the cake. The circumference can be found by multiplying the diameter of the base (which is twice the radius) by pi (π). So the circumference is 2 × 5 inches × 3.14, or 31.4 inches. Therefore, the area of the sides of the cake is 7 inches × 31.4 inches, or 219.8 square inches.
The area of the top of the cake can be found by multiplying the radius of the base (5 inches) by itself and then multiplying by pi. So the area of the top of the cake is 5 inches × 5 inches × 3.14, or 78.5 square inches.
Therefore, the total area of icing needed to cover the sides and top of the cake is 219.8 square inches + 78.5 square inches, or 298.3 square inches.
Rounded to the nearest tenth, the baker needs 298.3 square inches of icing. Answer: \boxed{298.3}.