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 94.2 square inches 94.2 square inches 62.8 square inches 62.8 square inches 301.44 square inches 301.44 square inches 37.68 square inches

To find the total surface area of a cylinder (which is the shape of the cheese wheel), we can use the formula:

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

where:

• \( r \) is the radius of the cylinder,
• \( h \) is the height of the cylinder,
• \( \pi \) is approximately 3.14.

Given:

• The diameter of the cheese wheel is 6 inches, so the radius \( r \) is half of that: \[ r = \frac{6}{2} = 3 \text{ inches} \]
• The height \( h \) is 2 inches.

Now we can substitute these values into the formula:

\[ \text{Surface Area} = 2 \times 3.14 \times 3 \times (2 + 3) \]

Calculating step by step:

1. Calculate \( (h + r) \): \[ (2 + 3) = 5 \text{ inches} \]

2. Substitute into the formula: \[ \text{Surface Area} = 2 \times 3.14 \times 3 \times 5 \]

3. Calculate \( 2 \times 3.14 = 6.28 \)

4. Multiply the results: \[ \text{Surface Area} = 6.28 \times 3 \times 5 \] \[ = 6.28 \times 15 \] \[ = 94.2 \text{ square inches} \]

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