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

94.2 square inches

62.8 square inches

301.44 square inches

37.68 square inches

3 answers

The surface area of the cheese wheel can be calculated by finding the area of the top and bottom circles and the area of the curved side.

The area of the top and bottom circles (which are the same) can be calculated using the formula for the area of a circle: A = πr^2, where r is the radius. The diameter of the cheese wheel is given as 6 inches, so the radius is half of that, which is 6/2 = 3 inches.

A1 = π(3)^2 = π(9) = 28.26 square inches

The area of the curved side can be calculated by finding the circumference of the circle and multiplying it by the height of the wheel. The circumference of a circle is given by the formula: C = 2πr.

C = 2π(3) = 6π = 18.84 inches

A2 = 18.84 inches * 2 inches = 37.68 square inches

To find the total surface area, we add the area of the top and bottom circles to the area of the curved side.

Total surface area = A1 + A2 = 28.26 square inches + 37.68 square inches = 65.94 square inches

Rounding to the nearest tenth, the total surface area of the cheese wheel is 65.9 square inches.
use the answer i provided you, idc if its not right
Sorry for the confusion earlier. If you wish to use the answer you provided, then the total surface area of the cheese wheel would be 94.2 square inches.