A wheel of cheese has a diameter of inches and a height of 2 inchA chef is making an appetizer where the cheese will be covered with pastryTo 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 point)
The surface area of the cheese wheel is equal to the sum of the areas of the curved surface and the top and bottom surfaces.
The curved surface area of a cylinder is given by the formula:
Curved surface area = 2πr * h
where r is the radius of the base and h is the height.
Since the diameter is given and we need the radius, we can divide the diameter by 2 to find the radius:
radius = diameter/2
We know the height is 2 inches.
radius = 10/2 = 5 inches
Curved surface area = 2 * 3.14 * 5 * 2 = 62.8 square inches
The top and bottom surfaces of the cheese wheel are circles with radius 5 inches each. The area of a circle is given by the formula:
Area = πr^2
Top and bottom surface area = 2 * 3.14 * 5^2 = 2 * 3.14 * 25 = 156.8 square inches
Total surface area = Curved surface area + Top and bottom surface area = 62.8 + 156.8 = 219.6 square inches (rounded to one decimal place)