A car engine moves a piston with a circular cross-section of \(6.048 \pm 0.002 \;cm\) diameter a distance of \(2.684 \pm 0.004 \;cm\) to compress the gas in the cylinder.
By what amount is the gas decreased in volume?
Express your answer in cubic centimeters.
What is the percent uncertainty in \(r\)?
What is the percent uncertainty in \(h\)?
Compute the percent uncertainty in the volume.