Subjects geometry

Candle Volume Ce3E9B

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1. **State the problem:** We need to find the total volume of wax required to make 110 cylindrical candles, each with diameter 6 inches and height 6 inches. 2. **Formula for the volume of a cylinder:** $$V = \pi r^2 h$$ where $r$ is the radius and $h$ is the height. 3. **Calculate the radius:** Diameter $d = 6$ inches, so radius $r = \frac{d}{2} = \frac{6}{2} = 3$ inches. 4. **Calculate the volume of one candle:** $$V = 3.14 \times 3^2 \times 6 = 3.14 \times 9 \times 6$$ 5. **Simplify the volume:** $$V = 3.14 \times 54 = 169.56$$ cubic inches. 6. **Calculate the total volume for 110 candles:** $$\text{Total volume} = 169.56 \times 110 = 18651.6$$ cubic inches. **Final answer:** The company will need $18651.6$ cubic inches of wax to make 110 candles.