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.(1 point)
Responses
301.44 square inches
301.44 square inches
62.8 square inches
62.8 square inches
37.68 square inches
37.68 square inches
94.2 square inches
Certainly! After reevaluating the given options, it seems that the closest approximation to the correct answer is:
94.2 square inches
However, it should be noted that this is not the exact surface area.
To find the surface area of the cheese wheel, we need to find the surface area of the top and bottom circles, as well as the surface area of the curved side.
The formula for the surface area of a circle is A = πr^2, where r is the radius of the circle.
The diameter of the cheese wheel is 6 inches, so the radius is half of that, which is 6/2 = 3 inches.
The surface area of the top and bottom circles is:
A(top/bottom) = π(3^2) = 9π square inches
The formula for the surface area of a cylinder (the curved side) is A = 2πrh, where r is the radius and h is the height of the cylinder.
The surface area of the curved side is:
A(curved side) = 2π(3)(2) = 12π square inches
The total surface area of the cheese wheel is the sum of the surface areas of the top/bottom circles and the curved side:
Total surface area = 9π + 12π = 21π square inches
Using 3.14 for π, we can calculate the total surface area:
Total surface area = 21(3.14) = 65.94 square inches (rounded to the nearest hundredth)
Therefore, the correct answer is 65.94 square inches, which is not one of the provided options.