Question

Question

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

62.8 square inches
62.8 square inches

301.44 square inches
301.44 square inches

37.68 square inches
37.68 square inches

94.2 square inches
94.2 square inches

Answer 1

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

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

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 given as 2 inches.

Now we can plug these values into the formula:

\[ \text{Surface Area} = 2 \times 3.14 \times 3 \times (2 + 3) \] \[ \text{Surface Area} = 2 \times 3.14 \times 3 \times 5 \]

Calculating it step-by-step:

1. Calculate \( 2 \times 3.14 = 6.28 \).
2. Then calculate \( 6.28 \times 3 = 18.84 \).
3. Then calculate \( 18.84 \times 5 = 94.2 \).

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

The answer is 94.2 square inches.