Question

a company makes wax candles in the shape of a cylinder. each candle has a radius of 3 inches and a height of 2 inches. if the company used 4182.48 in 3 of wax, how many candles did it make? use 3.14 for π, and do not round your answer.

Explanation:

Step1: Calculate volume of one candle

The formula for the volume of a cylinder is \( V = \pi r^2 h \). Given \( r = 3 \) inches, \( h = 2 \) inches, and \( \pi = 3.14 \).
Substitute the values: \( V = 3.14\times3^2\times2 \)
First, calculate \( 3^2 = 9 \), then \( 3.14\times9 = 28.26 \), then \( 28.26\times2 = 56.52 \) cubic inches. So the volume of one candle is \( 56.52 \) in³.

Step2: Calculate number of candles

Total wax used is \( 4182.48 \) in³. To find the number of candles, divide total volume by volume of one candle.
Number of candles \( = \frac{4182.48}{56.52} \)
Calculate the division: \( 4182.48\div56.52 = 74 \)

Answer:

74