A company makes wax candles in the shape of a cylinder. Each candle has a radius of 3 inches and a height of 6 inches. If the company used 5256.36in^ of Wax, how many candles did it make?

Use 3.14 for pie, and do not round your answer. PLS HELP ME!

A company makes wax candles in the shape of a cylinder Each candle has a radius of 3 inches and a height of 6 inches If the company used 525636in of Wax how man class=


Answer :

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