To find the total surface area of a cylindrical object (like a cheese wheel), we use the formula for the surface area of a cylinder:
\[ \text{Surface Area} = 2\pi r(h + r) \]
where \( r \) is the radius and \( h \) is the height.
Given:
- Diameter of the cheese wheel = 6 inches, which gives us a radius \( r = \frac{6}{2} = 3 \) inches.
- Height \( h = 2 \) inches.
Now, we can substitute these values into the formula:
\[ \text{Surface Area} = 2 \times 3.14 \times 3(2 + 3) \]
First, calculate \( h + r \): \[ h + r = 2 + 3 = 5 \]
Now, substitute back into the surface area formula:
\[ \text{Surface Area} = 2 \times 3.14 \times 3 \times 5 \]
Calculating:
- \( 2 \times 3.14 = 6.28 \)
- \( 6.28 \times 3 = 18.84 \)
- \( 18.84 \times 5 = 94.2 \)
Thus, the total surface area of the cheese wheel is:
\[ \text{Surface Area} = 94.2 \text{ square inches} \]
The correct response is 94.2 square inches.