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A candelabra holds 5 identical cylindrical

candles, each with a diameter of 6 centimeters
and a height of 9 centimeters. How many cubic
centimeters of wax are in all the candles on the
candelabra combined?

1 Answer

3 votes

Final answer:

To calculate the combined volume of the candles on the candelabra, we can use the formula for the volume of a cylinder. The diameter of each candle is 6 centimeters and the height is 9 centimeters. By plugging these values into the formula, we find that the combined volume is 1271.7 cm³.

Step-by-step explanation:

To calculate the volume of each cylindrical candle, we can use the formula V = πr²h, where r is the radius and h is the height of the cylinder. In this case, the diameter of each candle is 6 centimeters, so the radius is half of that, which is 3 centimeters. The height of each candle is 9 centimeters. Plugging these values into the formula, we get:

V = 3.142 × (3 cm)² × 9 cm = 254.34 cm³

Since there are 5 identical candles on the candelabra, we can multiply the volume of one candle by 5 to find the total volume of all the candles:

Total volume = 254.34 cm³ × 5 = 1271.7 cm³

Therefore, the combined volume of all the candles on the candelabra is 1271.7 cubic centimeters.

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