Question

A company makes wax candles in the shape of a cylinder. Each candle has a diameter of 8 inches and a height of 3 inches. The company uses, on average, 7988.16 in³ of wax each hour making these candles. How many candles does the company make, on average, each hour? For your calculations, do not round any intermediate steps, Round your answer to the nearest hundredth.

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Answer 1

To find out how many candles the company makes each hour, we need to calculate the volume of wax used per candle and then divide the total volume of wax used per hour by the volume of wax per candle.

The volume of a cylinder can be calculated using the formula V = πr^2h, where V is the volume, π is approximately 3.14, r is the radius, and h is the height.

First, let's find the radius of the candle. The diameter is given as 8 inches, so the radius is half of the diameter, which is 4 inches.

Now, we can calculate the volume of wax used per candle. Using the formula, V = πr^2h, we substitute the values: V = 3.14 * (4^2) * 3 = 3.14 * 16 * 3 = 150.72 in³.

Next, we divide the total volume of wax used per hour, 7988.16 in³, by the volume of wax per candle, 150.72 in³, to find the number of candles made per hour: 7988.16 / 150.72 = 53 candles.

Therefore, on average, the company makes 53 candles per hour.

Explanation: