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 square is 3.14 for pi
To calculate the surface area of the cheese wheel, we need to find the area of the two circular faces and the lateral surface area of the cylinder.
The formula for the area of a circle is A = πr^2, where r is the radius of the circle.
Given that the diameter of the wheel is 6 inches, the radius would be half of that, which is 6/2 = 3 inches.
Area of one circular face = π(3)^2 = 9π square inches
Since there are two circular faces, the total area of the circular faces is 2 * 9π = 18π square inches.
The formula for the lateral surface area of a cylinder is A = 2πrh, where r is the radius and h is the height of the cylinder.
Lateral surface area = 2π(3)(2) = 12π square inches.
Finally, to find the total surface area, we add the areas of the circular faces and the lateral surface area:
Total surface area = 18π + 12π = 30π square inches.
Since the value of π is given as 3.14, the total surface area of the cheese wheel would be:
30 * 3.14 = 94.2 square inches.