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. Do you know how much pastries needed to 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 total surface area of the cheese wheel, we need to calculate the areas of the top and bottom circles, as well as the lateral surface area.
The formula for the area of a circle is: A = πr^2, where A is the area and r is the radius.
Given that the diameter of the cheese wheel is 6 inches, we can find the radius by dividing the diameter by 2: r = 6 / 2 = 3 inches.
1. Area of the top circle: A_top = π * (3 inches)^2 = 3.14 * 9 = 28.26 square inches.
2. Area of the bottom circle: A_bottom = π * (3 inches)^2 = 3.14 * 9 = 28.26 square inches.
Now, let's calculate the lateral surface area, which can be thought of as the surface of a cylinder with the height being the thickness of the cheese wheel.
3. Lateral surface area of the cylinder: A_lateral = 2πrh, where r is the radius and h is the height.
A_lateral = 2 * 3.14 * 3 inches * 2 inches = 37.68 square inches.
Finally, we can find the total surface area by adding the areas calculated above:
Total surface area = A_top + A_bottom + A_lateral
Total surface area = 28.26 + 28.26 + 37.68 = 94.2 square inches.
Therefore, the total surface area of the cheese wheel is 94.2 square inches.