The 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 size and on 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
The surface area of the cylinder cake can be calculated by adding the lateral surface area and the top surface area of the cake.
The lateral surface area of a cylinder is given by the formula: LSA = 2πrh, where r is the radius and h is the height of the cylinder.
The top surface area of a cylinder is given by the formula: TSA = πr².
First, let's calculate the lateral surface area:
LSA = 2πrh
LSA = 2(3.14)(5)(7)
LSA = 219.8 square inches
Next, let's calculate the top surface area:
TSA = πr²
TSA = (3.14)(5)²
TSA = 78.5 square inches
Now, let's add the lateral surface area and the top surface area together to find the total surface area:
Total Surface Area = LSA + TSA
Total Surface Area = 219.8 + 78.5
Total Surface Area = 298.3 square inches
So, approximately 298.3 square inches of icing will be needed to cover the entire cake.