A baker needs to cover a cylinder cake with icing the cake has a radius of 5 in and a height of 7 in 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 calculate the lateral area and the area of the top.
The lateral area of a cylinder is given by the formula:
Lateral area = 2πrh
Where r is the radius of the base and h is the height of the cylinder.
In this case, the radius (r) is 5 inches and the height (h) is 7 inches.
Lateral area = 2 × 3.14 × 5 × 7 = 219.8 square inches (rounded to the nearest tenth).
The area of the top of the cake is given by the formula:
Area of top = πr²
In this case, the radius (r) is 5 inches.
Area of top = 3.14 × 5² = 78.5 square inches.
To find the total area of icing needed, we add the lateral area and the area of the top:
Total area = Lateral area + Area of top
Total area = 219.8 + 78.5
Total area = 298.3 square inches (rounded to the nearest tenth).
Therefore, approximately 298.3 square inches of icing will be needed to cover the sides and top of the cake.