A car engine moves a piston with a circular crosssection of $7\mathrm{.}500+-0\mathrm{.}002cm$ in diameter a distance of $4\mathrm{.}450+-0\mathrm{.}001cm$

to compress the gas in the cylinder.

$($a$)$ By what amount is the gas decreased in volume in cubic centimeters?

Give your answer to four significant figures.

The gas is decreased in volume by $,c{m}^3.$

$($b$)$ Find the uncertainty in this volume.

Give your answer to three significant figures.

The absolute uncertainty is

$c{m}^3.$