A wheel of cheese has a diameter of 6 inches and a height of 2 inch. A chef is making an appetizer where the cheese will be covered with pastry. To know how much pastry is needed, the chef wants to know the surface area of the cheese wheel. What is the total surface area of the cheese wheel in square inches? Use 3.14 for pi.(1 point)
Responses
37.68 square inches
37.68 square inches
301.44 square inches
301.44 square inches
94.2 square inches
94.2 square inches
62.8 square inches
The total surface area of the cheese wheel can be calculated by finding the surface area of the cylindrical part and adding it to the surface area of the two circular ends.
The surface area of the cylindrical part can be found using the formula:
Surface area = 2 * π * radius * height
The radius of the cheese wheel is half of its diameter, so the radius is 6/2 = 3 inches.
Using the given value of π as 3.14 and the height of 2 inches, the surface area of the cylindrical part is:
2 * 3.14 * 3 * 2 = 37.68 square inches.
The surface area of each circular end can be found using the formula:
Surface area = π * radius^2
Using the value of π as 3.14 and the radius of 3 inches, the surface area of each circular end is:
3.14 * 3^2 = 28.26 square inches.
Since there are two circular ends, the total surface area of the cheese wheel is:
37.68 + 2 * 28.26 = 94.2 square inches.
Therefore, the correct answer is 94.2 square inches.