Thank you for visiting A wheel of cheese has a diameter of 6 inches and a height of 2 inches A chef is making an appetizer where the cheese. This page is designed to guide you through key points and clear explanations related to the topic at hand. We aim to make your learning experience smooth, insightful, and informative. Dive in and discover the answers you're looking for!
Answer :
Final answer:
The total surface area of the cheese wheel is approximately 65.94 square inches.
Explanation:
To calculate the surface area of a cheese wheel, we need to find the surface area of the circular top and bottom, as well as the curved surface area of the cylinder. The formula for the surface area of a circle is A = πr², where r is the radius. Since the diameter is given as 6 inches, the radius is half of that, which is 3 inches. Using the value of π as 3.14, the surface area of the circular top and bottom is 3.14 * (3 inches)² = 28.26 square inches. The formula for the surface area of a cylinder is A = 2πrh, where r is the radius and h is the height. Plugging in the values, we get 2 * 3.14 * (3 inches) * 2 inches = 37.68 square inches. Finally, we add the surface areas of the circular top and bottom to the curved surface area of the cylinder to get the total surface area: 28.26 square inches + 37.68 square inches = 65.94 square inches. Therefore, the total surface area of the cheese wheel is approximately 65.94 square inches.
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