Subjects geometry

Candle Volume 5C5118

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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.