A wheel of chess 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 3.15 for pi.
The surface area of a cylinder can be calculated using the formula:
Surface Area = 2πr(r + h)
Where r is the radius and h is the height.
Given that the diameter of the wheel is 6 inches, the radius is half of that, which is 6/2 = 3 inches.
Substituting the values into the formula, we get:
Surface Area = 2 * 3.15 * 3(3 + 2)
= 2 * 3.15 * 3 * 5
= 2 * 3.15 * 15
= 94.2 inches
Therefore, the total surface area of the cheese wheel is 94.2 square inches.