Question

a company makes steel rods shaped like cylinders. each rod has a radius of 4 centimeters and a height of 30 centimeters. how much steel will the company need to make 113 rods? use 3.14 for π, and do not round your answer.

Explanation:

Step1: Calculate volume of one cylinder

The volume formula for a cylinder is $V = \pi r^{2}h$. Given $r = 4$ cm and $h=30$ cm, and $\pi = 3.14$. So $V=3.14\times4^{2}\times30$.
$V = 3.14\times16\times30=3.14\times480 = 1507.2$ $cm^{3}$.

Step2: Calculate volume of 113 rods

Multiply the volume of one rod by the number of rods. So the total volume $V_{total}=1507.2\times113$.
$V_{total}=1507.2\times113 = 170313.6$ $cm^{3}$.

Answer:

$170313.6$