Question

a company makes wax candles in the shape of a cylinder. each candle has a diameter of 8 inches and a height of 3 inches. if the company used 7536.16 in³ of wax, how many candles did it make? use 3.14 for π, and do not round your answer. candles

Explanation:

Step1: Calculate the radius of the candle

The diameter \(d = 8\) inches, so the radius \(r=\frac{d}{2}=\frac{8}{2}=4\) inches.

Step2: Calculate the volume of one candle

The formula for the volume of a cylinder is \(V=\pi r^{2}h\). Substitute \(r = 4\), \(h = 3\), and \(\pi=3.14\) into the formula:
\(V=3.14\times4^{2}\times3\)
\(V = 3.14\times16\times3\)
\(V=150.72\) cubic inches.

Step3: Calculate the number of candles

Divide the total volume of wax by the volume of one candle. Let \(n\) be the number of candles. Given the total volume of wax is \(7536.96\) cubic inches.
\(n=\frac{7536.96}{150.72}\)
\(n = 50\)

Answer:

\(50\)