To find the total 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 surface area of a circle is found using the formula A = πr^2, where r is the radius.
Given that the diameter of the wheel is 6 inches, the radius is half of that, so 6/2 = 3 inches.
The surface area of the top and bottom circles is then:
A = π(3)^2 = π(9) = 28.26 square inches (rounded to two decimal places)
The circumference of the circle is found using the formula C = 2πr, so for the side of the cheese wheel:
C = 2π(3) = 6π = 18.84 inches (rounded to two decimal places)
The surface area of the curved side is then:
A = C * h = 18.84 * 2 = 37.68 square inches
Adding the surface areas of the top circle, bottom circle, and curved side together:
28.26 + 28.26 + 37.68 = 94.2 square inches
Therefore, the correct answer is 94.2 square inches.
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
62.8 square inches
62.8 square inches
301.44 square inches
301.44 square inches
94.2 square inches
94.2 square inches
37.68 square inches
1 answer
3 answers