To find out how many candles the company made, we first need to calculate the surface area of one candle and then divide the total wax used by the surface area of one candle.
The formula for the surface area of a cylinder is:
Surface Area = 2πr² + 2πrh
Given:
Radius (r) = 3 inches
Height (h) = 6 inches
Substitute the given values into the formula:
Surface Area = 2 * 3.14 * (3²) + 2 * 3.14 * 3 * 6
Now, let's calculate:
Surface Area = 2 * 3.14 * 9 + 2 * 3.14 * 3 * 6
Surface Area = 56.52 + 113.04
Surface Area = 169.56 square inches
Now, to find out how many candles were made, divide the total wax used (5256.36 square inches) by the surface area of one candle:
Number of candles = Total wax used / Surface area of one candle
Number of candles = 5256.36 / 169.56
Number of candles ≈ 30.985
Since you can't have a fraction of a candle, the company made approximately 31 candles. I did not round