Question

1. justify the diameter of a soup can is about 7 cm. the label wraps around the can. about how many centimeters long must the label be to go all the way around the soup can? (use \\( \frac { 22 } { 7 } \\) for \\( \pi \\) ) explain how mentally check whether your answer is reasonable.

Explanation:

Step1: Recall the formula for circumference

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

Step2: Substitute the values

Given \(d = 7\) cm and \(\pi=\frac{22}{7}\). Then \(C=\frac{22}{7}\times7\).

Step3: Calculate the value

\(\frac{22}{7}\times7=22\) (cm).

To check mentally: The formula \(C=\pi d\). We know that \(\pi\approx3.14\) and \(d = 7\) cm. \(3\times7 = 21\) and \(0.14\times7=0.98\), \(21 + 0.98=21.98\approx22\).

Answer:

The length of the label must be about \(22\) centimeters.