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a company makes wax candles in the shape of a cylinder. each candle has…

Question

a company makes wax candles in the shape of a cylinder. each candle has a radius of 4 inches and a height of 3 inches. how much wax will the company need to make 120 candles? use 3.14 for π, and do not round your answer. in³

Explanation:

Step1: Find volume of one candle

The volume formula for a cylinder is $V = \pi r^{2}h$. Given $r = 4$ inches and $h=3$ inches, and $\pi = 3.14$. So $V=3.14\times4^{2}\times3$.

Step2: Calculate volume of one candle

$V = 3.14\times16\times3=150.72$ cubic - inches.

Step3: Find volume of 120 candles

Multiply the volume of one candle by 120. So the total volume $V_{total}=150.72\times120$.

Step4: Calculate total volume

$V_{total}=18086.4$ cubic - inches.

Answer:

$18086.4$