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 cheese wheel in square inches? Use 3.14 for pi.
62.8 square inches
94.2 square inches
37.68 square inches
301.44 square inches
The surface area of a cylinder can be found using the formula: 2πr^2 + 2πrh, where r is the radius of the cylinder and h is the height.
Given that the diameter of the cheese wheel is 6 inches, the radius is half of that, which is 3 inches.
Substituting these values into the formula, we get:
Surface Area = 2π(3^2) + 2π(3*2)
Surface Area = 2π(9) + 2π(6)
Surface Area = 18π + 12π
Surface Area = 30π
Since we are given to use 3.14 for π, we can approximate the answer:
Surface Area ≈ 30 * 3.14
Surface Area ≈ 94.2 square inches
Therefore, the total surface area of the cheese wheel is approximately 94.2 square inches. So the answer is 94.2 square inches.