To find the surface area of the label on the outside of a cylindrical can (which is the lateral surface area), you can use the formula:
\[ \text{Lateral Surface Area} = 2\pi rh \]
where \( r \) is the radius and \( h \) is the height of the can.
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Find the radius: The diameter of the can is 6 inches, so the radius \( r \) is: \[ r = \frac{\text{diameter}}{2} = \frac{6}{2} = 3 \text{ inches} \]
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Height: The height \( h \) is given as 4 inches.
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Calculate the lateral surface area using \( \pi = 3.14 \): \[ \text{Lateral Surface Area} = 2 \times 3.14 \times 3 \times 4 \]
Performing the calculations step-by-step:
- Calculate \( 2 \times 3.14 = 6.28 \)
- Calculate \( 3 \times 4 = 12 \)
- Finally \( 6.28 \times 12 = 75.36 \)
Thus, the surface area of the label on the outside of the can is 75.36 square inches.
The correct answer is 75.36.