To find the area of the label needed for the can of olives, we first need to calculate the surface area of the cylindrical can (without the top and bottom). The formula for the lateral surface area \( A \) of a cylinder is given by:
\[ A = 2\pi rh \]
Where:
- \( r \) is the radius of the cylinder
- \( h \) is the height of the cylinder
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Determine 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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Use the height \( h \): The height of the can is given as 4 inches.
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Substitute values into the formula: Using \( \pi \approx 3.14 \): \[ A = 2 \times 3.14 \times 3 \times 4 \]
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Calculate the area: First, calculate \( 2 \times 3.14 \): \[ 2 \times 3.14 = 6.28 \]
Now compute: \[ A = 6.28 \times 3 \times 4 \] Calculate \( 3 \times 4 = 12 \): \[ A = 6.28 \times 12 = 75.36 \]
Thus, the area of paper needed for the label on the outside of the can is 75.36 square inches.
The correct response is 75.36.
1 answer