Question

A company makes steel rods shaped like cylinders. Each rod has a radius of 4 centimeters and a height of 30 centimeters. If the company used 94,953.6 of steel, how many rods did it make

Answer 1

Answer:

Company made 63 rods with the given amount of steel.

Step-by-step explanation:

Given:

Radius of each rod =4 cm

height of each rod = 30 cm

Number of steel company used = 94953.6

We need to find how many rods company can make.

Solution:

First we will find the Volume of each rod.

Since rod is in cylindrical shape.

So we will use Volume of cylinder.

Now Volume of cylinder is given by π times square of the radius times height.

framing in equation form we get;

Volume of each rod = $\pi r^2h= \pi \times4^2\times 30 = 1507.96 \ cm^3$

So we can say that steel used to make each rod = 1507.96

Number of steel company used = 94953.6 (given)

To find the number of steel rod company made we will divide Number of steel company used by number of steel used to make each rod.

framing in equation form we get;

number of steel rod company made = $\frac{94953.6}{1507.96}= 62.96\approx63$

Hence Company made 63 rods with the given amount of steel.