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)

To calculate the total surface area of a cylinder (which a cheese wheel is), you can use the formula:

\[ \text{Surface Area} = 2\pi r(h + r) \]

where \( r \) is the radius and \( h \) is the height of the cylinder.

1. First, determine the radius from the diameter:

   • Diameter = 6 inches
   • Radius \( r = \frac{6}{2} = 3 \) inches

2. The height \( h \) is given as 2 inches.

3. Now plug in the values into the surface area formula: \[ \text{Surface Area} = 2 \cdot 3.14 \cdot 3 \cdot (2 + 3) \]

4. Calculate \( h + r \): \[ h + r = 2 + 3 = 5 \]

5. Now substitute \( h + r \) back into the equation: \[ \text{Surface Area} = 2 \cdot 3.14 \cdot 3 \cdot 5 \]

6. Calculate it step by step: \[ 2 \cdot 3.14 = 6.28 \] \[ 6.28 \cdot 3 = 18.84 \] \[ 18.84 \cdot 5 = 94.2 \]

So, the total surface area of the cheese wheel is 94.2 square inches.