Question

a company makes wax candles in the shape of a cylinder. each candle has a diameter of 4 inches and a height of 8 inches. if the company used 6732.16 in 3 of wax, how many candles did it make? use 3.14 for π, and do not round your answer. candles

Explanation:

Step1: Find the radius of the candle

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

Step2: Calculate the volume of one cylindrical candle

The formula for the volume of a cylinder is \( V=\pi r^{2}h \). Substituting \( \pi = 3.14 \), \( r = 2 \), and \( h = 8 \):
\( V=3.14\times2^{2}\times8 \)
\( V = 3.14\times4\times8 \)
\( V=3.14\times32 \)
\( V = 100.48 \) cubic inches.

Step3: Find the number of candles

Divide the total volume of wax by the volume of one candle. Let \( n \) be the number of candles.
\( n=\frac{6732.16}{100.48} \)
\( n = 67 \)

Answer:

67