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.

Question

1. 94.2 square inches
2. 301.44 square inches
3. 62.8 square inches
4. 37.68 square inches

Answer 1

To calculate 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.

Given:

• Diameter = 6 inches, so the radius \( r = \frac{6}{2} = 3 \) inches.
• Height \( h = 2 \) inches.

Now, we can plug the numbers into the formula.

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

2. Now plug in \( r \) and \( h + r \): \[ \text{Surface Area} = 2 \times 3.14 \times 3 \times 5 \] \[ = 2 \times 3.14 \times 15 \] \[ = 2 \times 47.1 \] \[ = 94.2 \text{ square inches} \]

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

The correct answer is:

1. 94.2 square inches.