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
37.68 square inches
37.68 square inches
301.44 square inches
301.44 square inches
94.2 square inches
To find the surface area of the cheese wheel, we need to calculate the surface area of the curved part (the circumference of the circle) and the surface area of the flat part (the height multiplied by the circumference).
The circumference of the circle is found using the formula: C = πd, where d is the diameter.
C = 3.14 * 6 = 18.84 inches
The surface area of the curved part is equal to the circumference of the circle multiplied by the height:
Curved surface area = 18.84 * 2 = 37.68 square inches
The surface area of the flat part is equal to the circumference multiplied by the height:
Flat surface area = 18.84 * 2 = 37.68 square inches
Adding the surface area of the curved part and the flat part:
Total surface area = Curved surface area + Flat surface area
Total surface area = 37.68 + 37.68 = 75.36 square inches
Therefore, the total surface area of the cheese wheel is approximately 75.36 square inches.
what
I apologize for the incorrect calculation in my previous response. Let's recalculate the surface area of the cheese wheel correctly.
The circumference of the circle can be found using the formula: C = πd, where d is the diameter.
C = 3.14 * 6 = 18.84 inches
The surface area of the curved part is equal to the circumference of the circle multiplied by the height:
Curved surface area = 18.84 * 2 = 37.68 square inches
The flat part of the cheese wheel does not contribute to the total surface area since it is covered with pastry. Thus, the total surface area of the cheese wheel is equal to the curved surface area, which is approximately 37.68 square inches.
Therefore, the total surface area of the cheese wheel is approximately 37.68 square inches.