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.

$9.6=\frac{48in^3}{V_{compressed}}_{}$

Then, we solve to find the compressed volume.

$V_{\text{compressed}}=\frac{48in^3}{9.6}=5in^3$

Therefore, the compressed volume is 5 cubic inches.