Question
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
94.2 square inches
94.2 square inches
62.8 square inches
62.8 square inches
301.44 square inches
301.44 square inches
37.68 square inches
The total surface area of the cheese wheel can be calculated by finding the lateral surface area of the cylinder and the area of the two circular ends.
Lateral Surface Area:
= 2 * π * r * h
= 2 * 3.14 * 3 * 2
= 37.68 square inches
Area of the two circular ends:
= 2 * π * r^2
= 2 * 3.14 * 3^2
= 56.52 square inches
Total surface area:
= Lateral Surface Area + Area of the two circular ends
= 37.68 + 56.52
= 94.2 square inches
Therefore, the total surface area of the cheese wheel is 94.2 square inches.