Question

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.

a) 37.68 square inches
b) 301.44 square inches
c) 94.2 square inches
d) 62.8 square inches

Answer 1

The total surface area of the cheese wheel is approximately 65.94 square inches.

Step-by-step explanation:

To calculate the surface area of a cheese wheel, we need to find the surface area of the circular top and bottom, as well as the curved surface area of the cylinder. The formula for the surface area of a circle is A = πr², where r is the radius. Since the diameter is given as 6 inches, the radius is half of that, which is 3 inches. Using the value of π as 3.14, the surface area of the circular top and bottom is 3.14 * (3 inches)² = 28.26 square inches. The formula for the surface area of a cylinder is A = 2πrh, where r is the radius and h is the height. Plugging in the values, we get 2 * 3.14 * (3 inches) * 2 inches = 37.68 square inches. Finally, we add the surface areas of the circular top and bottom to the curved surface area of the cylinder to get the total surface area: 28.26 square inches + 37.68 square inches = 65.94 square inches. Therefore, the total surface area of the cheese wheel is approximately 65.94 square inches.