12. SOUP A soup can is 4 inches tall and has a diameter of $3 \frac{3}{4}$ inches. How much paper is neoded for the label on the can? Round your answer to the nearest tenth.
Answer
Final Answer: The amount of paper needed for the label on the can is \(\boxed{47.1}\) square inches.
Step 1 ：The soup can is 4 inches tall and has a diameter of \(3 \frac{3}{4}\) inches.
Step 2 ：The label on the soup can will be a rectangle when flattened out. The height of the rectangle will be the same as the height of the can, and the width of the rectangle will be the circumference of the can.
Step 3 ：The circumference of a circle is given by the formula \(C = \pi d\), where \(d\) is the diameter of the circle.
Step 4 ：Substituting the given diameter into the formula, we get the circumference as approximately 11.78 inches.
Step 5 ：We need to calculate the area of the rectangle, which is given by the formula \(A = lw\), where \(l\) is the length (or height in this case) and \(w\) is the width (or circumference in this case).
Step 6 ：Substituting the given height and calculated circumference into the formula, we get the area as approximately 47.1 square inches.
Step 7 ：Final Answer: The amount of paper needed for the label on the can is \(\boxed{47.1}\) square inches.
