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 surfac area of the cheese wheel in square inches? Use 3.14 for pi. (1 point) 301.44 square inches 94.2 square inches 37.68 square inches 62.8 square inches
The surface area of the cylinder can be calculated by first finding the area of the two circular faces and then finding the area of the curved surface.
The area of a circle is given by the formula A = 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 this, which is 3 inches.
The area of each circular face is therefore:
A = π(3)^2 = π(9) = 28.26 square inches.
The height of the cheese wheel is given as 2 inches.
The circumference of the cheese wheel can be calculated using the formula C = 2πr, where r is the radius.
C = 2π(3) = 6π inches.
To find the area of the curved surface, we multiply the height of the cylinder by the circumference.
Area of curved surface = 6π * 2 = 12π square inches.
Now, we can total up the areas:
2 circular faces = 28.26 + 28.26 = 56.52 square inches.
Curved surface = 12π square inches.
Total surface area = 56.52 + 12π.
Using the approximation of pi as 3.14, we can calculate the final answer:
Total surface area = 56.52 + 12(3.14).
Total surface area = 56.52 + 37.68 = 94.2 square inches.
Therefore, the total surface area of the cheese wheel is 94.2 square inches. Answer: 94.2 square inches.