To find the area of the label needed for the outside of the can, we need to calculate the surface area of the cylindrical can (excluding the top and bottom).
The formula for the lateral surface area \( A \) of a cylinder is:
\[ A = 2 \pi r h \]
where \( r \) is the radius and \( h \) is the height.
Given:
- Diameter of the can = 6 inches, so the radius \( r = \frac{6}{2} = 3 \) inches
- Height \( h = 4 \) inches
Now, we can substitute the values into the formula:
\[ A = 2 \times 3.14 \times 3 \times 4 \]
Calculating this step by step:
- Calculate \( 2 \times 3.14 = 6.28 \)
- Calculate \( 3 \times 4 = 12 \)
- Now, multiply \( 6.28 \times 12 = 75.36 \)
Thus, the surface area of the label needed for the outside of the can is 75.36 square inches.
The correct answer is 1. 75.36.