Question

1. a soup can with a diameter of 3 inches has a wrapper that wraps exactly once around its outside. if the wrapper is rolled out, what is its approximate length? show your thinking.

Explanation:

Step1: Recall the formula for the circumference of a circle

The circumference \( C \) of a circle is given by the formula \( C = \pi d \), where \( d \) is the diameter of the circle.

Step2: Substitute the given diameter into the formula

We are given that the diameter \( d = 3 \) inches. Substituting this into the formula, we get \( C=\pi\times3 \). Using the approximation \( \pi\approx3.14 \), we calculate \( C\approx3.14\times3 = 9.42 \) inches.

Answer:

The approximate length of the wrapper is \( 9.42 \) inches (or using \( \pi\approx\frac{22}{7} \), the length would be \( \frac{22}{7}\times3\approx9.43 \) inches).