Question

BeeBright is a company that makes wax candles in the shape of a solid sphere. Suppose each candle has a diameter of 24 cm. If the company uses, on average, 170,864 cm of wax each hour making candles, how many candles does the company make, on average, each hour?

If necessary, refer to the list of geometry formulas.
For your calculations, do not round any intermediate steps, and use the n button on the ALEKS calculator. Round your answer to the nearest hundredth.

Answer 1

BeeBright makes approximately 23.66 candles per hour.

Step-by-step explanation:

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

The volume of a sphere can be calculated using the formula V = (4/3)πr³, where r is the radius of the sphere. Since the diameter of each candle is 24 cm, the radius is half of that, which is 12 cm.

Therefore, the volume of each candle is V = (4/3)π(12)³ = 7223.96 cm³.

Now, if the company uses 170,864 cm of wax each hour, we can divide that by the volume of each candle to find out how many candles they make per hour.

So, the number of candles BeeBright makes each hour is 170,864 cm / 7223.96 cm³ = 23.66 candles.