Volume Uncertainty 77B29B
1. The problem is to find the uncertainty (±) in the volume measurement given as 4.6 cm³.
2. The uncertainty is often taken as half the smallest division or half the range of the measurement.
3. Here, the range is 4.6 cm³, so the uncertainty is calculated as:
$$\text{Uncertainty} = \frac{4.6}{2} = 2.3 \text{ cm}^3$$
4. Therefore, the volume with uncertainty is expressed as:
$$4.6 \pm 2.3 \text{ cm}^3$$
This means the actual volume could be between 2.3 cm³ and 6.9 cm³.
5. This method assumes the uncertainty is symmetric and based on half the range value, which is common in measurement uncertainty estimation.