To calculate the surface area of the cheese wheel, we need to find the area of the curved surface and the area of the top and bottom surfaces.
The curved surface area can be calculated using the formula for the lateral surface area of a cylinder: 2πrh, where r is the radius (half the diameter) and h is the height. In this case, the radius is 6/2 = 3 inches and the height is 2 inches, so the curved surface area is 2π(3)(2) = 12π = 37.68 square inches.
The top and bottom surfaces are both circles, so their areas can be calculated using the formula for the area of a circle: πr^2. In this case, the radius is 3 inches, so the area of each surface is π(3^2) = 9π. Since there are two surfaces, the total area for the top and bottom surfaces is 2(9π) = 18π = 56.52 square inches.
Therefore, the total surface area of the cheese wheel is 37.68 + 56.52 = 94.2 square inches.
The correct answer is 94.2 square inches.
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
62.8 square inches
62.8 square inches
94.2 square inches
1 answer