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 on 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 that needs to be covered in icing, we need to calculate the lateral surface area of the cylinder and the area of its top circle.
The lateral surface area of the cylinder can be calculated using the formula: Lateral Surface Area = 2πrh, where r is the radius and h is the height.
Lateral Surface Area = 2 * 3.14 * 5 * 7
Lateral Surface Area = 219.8 square inches (rounded to the nearest tenth)
The area of the top circle can be calculated using the formula: Area of Circle = πr^2, where r is the radius.
Area of Top Circle = 3.14 * (5^2)
Area of Top Circle = 78.5 square inches
To find the total area needed to cover the sides and top of the cake, we add the lateral surface area and the area of the top circle:
Total Area = Lateral Surface Area + Area of Top Circle
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, excluding the bottom.
find the surface area of a cylinder with a height of 4 yards and a radius of 2 yard use 3.14 for pi and round to the nearest tenth
To find the surface area of a cylinder, we need to calculate the lateral surface area and the area of the two bases.
The lateral surface area of a cylinder can be calculated using the formula: Lateral Surface Area = 2πrh, where r is the radius and h is the height.
Lateral Surface Area = 2 * 3.14 * 2 * 4
Lateral Surface Area = 50.24 square yards (rounded to the nearest tenth)
The area of each base of the cylinder can be calculated using the formula: Area of Circle = πr^2, where r is the radius.
Area of Base = 3.14 * (2^2)
Area of Base = 12.56 square yards
To find the total surface area, we add the lateral surface area and the area of the two bases:
Total Surface Area = Lateral Surface Area + 2 * Area of Base
Total Surface Area = 50.24 + 2 * 12.56
Total Surface Area = 75.36 square yards (rounded to the nearest tenth)
Therefore, the surface area of the given cylinder is approximately 75.36 square yards.
To find the surface area of the cylinder cake that needs to be covered with icing, we need to find the lateral area and the top area.
1. Lateral Area: The lateral area refers to the area of the curved sides of the cylinder. The formula for the lateral area of a cylinder is L = 2πrh, where r is the radius and h is the height of the cylinder.
Given:
Radius (r) = 5 inches
Height (h) = 7 inches
Lateral Area (L) = 2πrh
= 2 * 3.14 * 5 * 7
≈ 219.8 square inches
2. Top Area: The top area of the cake is in the shape of a circle, with a radius equal to the radius of the cake. The formula to calculate the area of a circle is A = πr².
Given:
Radius (r) = 5 inches
Top Area (A) = πr²
= 3.14 * 5²
= 3.14 * 25
≈ 78.5 square inches
3. Total Area: To find the total area of icing needed, we add the lateral area and the top area together.
Total Area = Lateral Area + Top Area
= 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.