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
94.2 square inches
94.2 square inches
37.68 square inches
37.68 square inches
62.8 square inches
To find the surface area of the cheese wheel, we need to find the area of the top and bottom circles, as well as the area of the curved side.
The formula for the area of a circle is A = πr^2, where r is the radius.
Given that the diameter of the wheel is 6 inches, the radius is half of that, which is 6/2 = 3 inches.
Therefore, the area of the top and bottom circles is: A = 3.14 * (3^2) = 3.14 * 9 = 28.26 square inches.
The circumference of the wheel can be found using the formula C = 2πr. In this case, the circumference is C = 2 * 3.14 * 3 = 18.84 inches.
To find the area of the curved side, we multiply the circumference by the height of 2 inches: A = 18.84 * 2 = 37.68 square inches.
Finally, the total surface area is found by adding the area of the top and bottom circles to the area of the curved side: 28.26 + 37.68 = 65.94 square inches.
Therefore, the total surface area of the cheese wheel is 65.94 square inches.