To calculate the total surface area of a cylinder (which is the shape of the cheese wheel), you can use the formula:
\[ \text{Surface Area} = 2\pi r(h + r) \]
where \( r \) is the radius and \( h \) is the height.
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First, find the radius of the cheese wheel:
- The diameter is 6 inches, so the radius \( r \) is: \[ r = \frac{\text{diameter}}{2} = \frac{6}{2} = 3 \text{ inches} \]
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The height \( h \) is given as 2 inches.
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Now, substitute the values into the formula: \[ \text{Surface Area} = 2 \times 3.14 \times 3 \times (2 + 3) \]
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Simplifying inside the parentheses first: \[ h + r = 2 + 3 = 5 \]
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Now, substituting back into the formula: \[ \text{Surface Area} = 2 \times 3.14 \times 3 \times 5 \]
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Calculate each part step-by-step: \[ 2 \times 3.14 = 6.28 \] \[ 6.28 \times 3 = 18.84 \] \[ 18.84 \times 5 = 94.2 \]
Therefore, the total surface area of the cheese wheel is 94.2 square inches.
The correct response is: 94.2 square inches