QuestionWord problem involving the volume of a sphere
BeeBright is a company that makes wax candles in the shape of a solid sphere. Suppose each candle has a diameter of 15 cm . If the company uses, on average, 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 button on the ALEKS calculator. Round your answer to the nearest hundredth.
candles
Studdy Solution
STEP 1
1. The candles are perfect spheres.
2. The diameter of each sphere is cm.
3. The volume of wax used per hour is .
STEP 2
1. Recall the formula for the volume of a sphere.
2. Calculate the radius of the sphere.
3. Substitute the radius into the volume formula.
4. Calculate the volume of one candle.
5. Determine the number of candles made per hour.
STEP 3
Recall the formula for the volume of a sphere:
STEP 4
Calculate the radius of the sphere. Since the diameter is cm, the radius is:
STEP 5
Substitute the radius into the volume formula:
STEP 6
Calculate the volume of one candle:
STEP 7
Determine the number of candles made per hour by dividing the total volume of wax by the volume of one candle:
Round to the nearest hundredth:
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