A wheel of cheese has a diameter of 6 inches and a height of 2 inches. 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
To find the surface area of the cheese wheel, we need to find the area of the curved surface (the sides) plus the area of the two circular ends.
The curved surface can be treated as a cylinder. The formula for the curved surface area of a cylinder is 2πrh, where r is the radius and h is the height.
Given that the diameter of the cheese wheel is 6 inches, the radius is half of that, or 6/2 = 3 inches.
The height of the cheese wheel is given as 2 inches.
Plugging in these values into the formula, the curved surface area is 2 * 3.14 * 3 * 2 = 37.68 square inches.
The area of each circular end is given by the formula πr^2. Plugging in 3 inches for the radius, the area of each end is 3.14 * (3)^2 = 28.26 square inches.
To find the total surface area, we add the area of the curved surface and the two ends: 37.68 + 2(28.26) = 94.20 square inches.
Therefore, the total surface area of the cheese wheel is 94.20 square inches.