A baker needs to cover a cylinder 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 the 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 of the cylinder, we need to find the circumference of the base and then multiply it by the height. The formula for the circumference of a circle is C = 2πr, where r is the radius. Plugging in the radius of 5 inches gives us C = 2(3.14)(5) = 31.4 inches.
The surface area of the sides of the cylinder is then 31.4 inches * 7 inches = <<31.4*7=219.8>>219.8 square inches.
To find the area of the top of the cylinder, we need to find the area of the circle. The formula for the area of a circle is A = πr^2. Plugging in the radius of 5 inches gives us A = 3.14(5^2) = 78.5 square inches.
Adding the area of the sides and the top gives us a total of 219.8 square inches + 78.5 square inches = <<219.8+78.5=298.3>>298.3 square inches.
Therefore, approximately 298.3 square inches of icing will be needed to cover the sides and top of the cake.