1. **State the problem:** We need to find how many cylindrical candles the company made given the total volume of wax used, the diameter, and height of each candle.
2. **Formula for the volume of a cylinder:**
$$V = \pi r^2 h$$
where $r$ is the radius and $h$ is the height.
3. **Given values:**
Diameter $d = 6$ inches, so radius $r = \frac{d}{2} = \frac{6}{2} = 3$ inches.
Height $h = 4$ inches.
Total wax volume $V_{total} = 3278.16$ in³.
Use $\pi = 3.14$.
4. **Calculate the volume of one candle:**
$$V = 3.14 \times 3^2 \times 4 = 3.14 \times 9 \times 4$$
$$V = 3.14 \times 36 = 113.04$$ in³.
5. **Find the number of candles made:**
$$\text{Number of candles} = \frac{V_{total}}{V} = \frac{3278.16}{113.04}$$
Show intermediate cancellation:
$$\frac{\cancel{3278.16}}{\cancel{113.04}} = 29$$
6. **Final answer:** The company made **29** candles.
Candle Volume 5C5118
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