Question

a company makes wax candles in the shape of a cylinder. each candle has a diameter of 4 inches and a height of 6 inches. if the company used 3165.12 in³ of wax, how many candles did it make? use 3.14 for π, and do not round your answer.

Explanation:

Step1: Calculate the radius of the cylinder

The diameter $d = 4$ inches, so the radius $r=\frac{d}{2}=\frac{4}{2}=2$ inches.

Step2: Calculate the volume of one candle

The volume formula for a cylinder is $V=\pi r^{2}h$. Substitute $r = 2$ inches, $h = 6$ inches and $\pi=3.14$ into the formula. So $V=3.14\times2^{2}\times6=3.14\times4\times6 = 75.36$ $in^{3}$.

Step3: Calculate the number of candles

Let the number of candles be $n$. We know the total volume of wax used is $3165.12$ $in^{3}$ and the volume of one - candle is $V = 75.36$ $in^{3}$. Then $n=\frac{3165.12}{75.36}=42$.

Answer:

42