To complete the table, we need to calculate the ratio of circumference (C) to diameter (d) for each cylinder. The ratio can be calculated using the formula:
\[ \text{Ratio} = \frac{C}{d} \]
We will calculate the ratio for each of the given cylinders and round to the nearest tenth.
Calculations:
-
Cylinder A:
- \( C = 18.4 , \text{cm}, , d = 6.2 , \text{cm} \) \[ \text{Ratio} = \frac{18.4}{6.2} \approx 2.965 \approx 3.0 \]
-
Cylinder B:
- \( C = 25.1 , \text{cm}, , d = 8.0 , \text{cm} \) \[ \text{Ratio} = \frac{25.1}{8.0} \approx 3.1375 \approx 3.1 \]
-
Cylinder C:
- \( C = 31.4 , \text{cm}, , d = 10.0 , \text{cm} \) \[ \text{Ratio} = \frac{31.4}{10.0} \approx 3.14 \approx 3.1 \]
-
Cylinder D:
- \( C = 40.0 , \text{cm}, , d = 12.9 , \text{cm} \) \[ \text{Ratio} = \frac{40.0}{12.9} \approx 3.1023 \approx 3.1 \]
Completed Table:
| Cylinder | Circumference, C (cm) | Diameter, d (cm) | Ratio | |----------|------------------------|-------------------|-------| | A | 18.4 | 6.2 | 3.0 | | B | 25.1 | 8.0 | 3.1 | | C | 31.4 | 10.0 | 3.1 | | D | 40.0 | 12.9 | 3.1 |
Conclusion:
To the nearest whole number, the circumference of the base of a cylinder is approximately 3 times the diameter of the same base.