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 80,864 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 using $\pi = 3.14$. So $V=3.14\times2^{2}\times70=3.14\times4\times70 = 879.2$ $cm^{3}$.

Step2: Calculate number of rods

The total volume of steel used is $80864$ $cm^{3}$. Let the number of rods be $n$. Then $n=\frac{80864}{879.2}=92$.

Answer:

92