Question

A company makes steel rods shaped like cylinders. Each rod has a radius of 2 centimeters and height of 60 centimeters. How much steel will the company need to make 192 rods?

Answer 1

Answer:

Step-by-step explanation:

The idea is to find out how much steel it takes to make 1 rod, then multiply that amount by 192.  The amount of steel in a rod is found in the volume of steel in each rod.  The formula for the volume of a cylinder is

$V=\pi r^2h$

For us this formula looks like this:

$V=\pi (4)(60)$ which, in terms of pi, is 240π.  That's not a very useful measure, so rounded to the nearest whole number, each rod take 754 cubic centimeters of steel.  Multiply that by 192 and you get that you need

144,768 cubic centimeters of steel to make 192 rods of that size.

Answer 2

144,768 cubic centimeters of steel to make 192 rods of that size.

What is the equation?

An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

How to solve it?

The idea is to find out how much steel it takes to make 1 rod, then multiply that amount by 192.  The amount of steel in a rod is found in the volume of steel in each rod.  The formula for the volume of a cylinder is

For us this formula looks like this:

which, in terms of pi, is 240π.  That's not a very useful measure, so rounded to the nearest whole number, each rod take 754 cubic centimeters of steel.  Multiply that by 192 and you get that you need

144,768 cubic centimeters of steel to make 192 rods of that size.

Learn more about Equations:

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