Question

The compression ratio in a certain engine is 9.6 to 1. If the expanded volume of a cylinder is 48 cu in., what is the compressed volume?

Answer 1

We know that

• The compression ratio is 9.6 to 1.

,

• The expanded volume of a cylinder is 48 cubic inches.

Let's use the following expression

`r_(compression)=\frac{V_(\exp anded)}{V_{\text{compressed}}_{}_{}}`

As you can observe, this expression refers to the ratio of compression. Now, let's use the given values, the compression ratio, and the expanded volume.

`9.6=(48in^3)/(V_(compressed))_{}`

Then, we solve to find the compressed volume.

`V_{\text{compressed}}=(48in^3)/(9.6)=5in^3`

Therefore, the compressed volume is 5 cubic inches.