Question

a company makes steel rods shaped like cylinders. each rod has a radius of 2 centimeters and a height of 70 centimeters. if the company used 80,384 cm³ of steel, how many rods did it make? use 3.14 for π, and do not round your answer.

Explanation:

Step1: Calculate volume of one rod

The volume formula for a cylinder is $V = \pi r^{2}h$. Given $r = 2$ cm and $h=70$ cm, and $\pi = 3.14$. So $V=3.14\times2^{2}\times70$.
$V = 3.14\times4\times70=879.2$ $cm^{3}$.

Step2: Calculate number of rods

The total volume of steel used is $80384$ $cm^{3}$. Let the number of rods be $n$. Then $n=\frac{80384}{V}$. Substitute $V = 879.2$ into the formula, we get $n=\frac{80384}{879.2}=91.439945$. Since we are looking for the number of whole - rods, we take the integer part. So the number of rods is 91.

Answer:

91