Question

the compression ratio in a certain engine is 9.8 to 1. if the expanded volume of a cylinder is 49 cu in., what is the compressed volume?
the compressed volume is cu in.
(simplify your answer.)

Explanation:

Step1: Set up the ratio equation

Let the compressed volume be \(x\). The compression ratio is \(\frac{\text{expanded volume}}{\text{compressed volume}}=\frac{9.8}{1}\). Given expanded volume \( = 49\) cu in. So, \(\frac{49}{x}=\frac{9.8}{1}\).

Step2: Solve for \(x\)

Cross - multiply: \(9.8x = 49\). Then \(x=\frac{49}{9.8}\).

Step3: Calculate the value of \(x\)

\(x = 5\).

Answer:

\(5\)