To find the surface area of the cheese wheel, we need to calculate the area of the top and bottom circles of the wheel and the area of the curved surface.
Area of a circle = πr^2, where r is the radius of the circle.
Given that the diameter of the cheese wheel is 6 inches, the radius would be half of the diameter, which is 6/2 = 3 inches.
Area of top and bottom circles = 2 * π * 3^2 = 2 * π * 9 = 18π square inches.
The circumference of the cheese wheel can be calculated as πd, where d is the diameter.
Circumference = π * 6 = 6π inches.
The curved surface of the cheese wheel can be thought of as the rectangle created by the circumference of the wheel as the length and the height of the wheel as the width.
Area of the curved surface = length * width = 6π * 2 = 12π square inches.
Total surface area = area of top and bottom circles + area of curved surface = 18π + 12π = 30π square inches.
Estimated to the nearest tenth, the total surface area of the cheese wheel is approximately 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
301.44 square inches
301.44 square inches
94.2 square inches
94.2 square inches
62.8 square inches
62.8 square inches
37.68 square inches
1 answer