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. how much wax will the company need to make 130 candles? use 3.14 for π, and do not round your answer. in³

Explanation:

Step1: Find the radius of the cylinder

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

Step2: Calculate the volume of one - cylinder - shaped candle

The volume formula for a cylinder is $V=\pi r^{2}h$. Substitute $r = 4$ inches, $h = 3$ inches and $\pi=3.14$ into the formula. So $V = 3.14\times4^{2}\times3=3.14\times16\times3$.
$V=3.14\times48 = 150.72$ in³.

Step3: Calculate the total volume of wax needed for 130 candles

Multiply the volume of one candle by the number of candles. Total volume $=150.72\times130 = 19593.6$ in³.

Answer:

$19593.6$