1. **Stating the problem:** Calculate the porosity percentage for each bead size using the formula for porosity:
$$\text{Porosity} = \frac{\text{Volume of voids}}{\text{Total volume}} \times 100$$
2. **Formula explanation:** Porosity is the percentage of the material's volume that is empty space (voids). We divide the volume of voids by the total volume and multiply by 100 to get a percentage.
3. **Calculate porosity for each data point:**
- Small beads:
- For 95 ml voids: $$\frac{95}{250} \times 100 = 38\%$$
- For 90 ml voids: $$\frac{90}{250} \times 100 = 36\%$$
- For 97 ml voids: $$\frac{97}{250} \times 100 = 38.8\%$$
- Medium beads:
- For 98 ml voids: $$\frac{98}{250} \times 100 = 39.2\%$$
- For 95 ml voids: $$\frac{95}{250} \times 100 = 38\%$$
- For 92 ml voids: $$\frac{92}{250} \times 100 = 36.8\%$$
- Large beads:
- For 80 ml voids: $$\frac{80}{250} \times 100 = 32\%$$
- For 95 ml voids: $$\frac{95}{250} \times 100 = 38\%$$
- For 105 ml voids: $$\frac{105}{250} \times 100 = 42\%$$
4. **Summary:** Porosity values vary by bead size and measurement, ranging approximately from 32% to 42%. This shows how pore space changes with bead size.
Final answer: Porosity percentages are calculated as above for each data point.
Porosity Calculation 539990
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