Answer
$1.79\; in$.
Work Step by Step
The length of the cylinder is $h=10.0\; in$.
The volume of the cylinder is $V=25.3\; in^3$.
The formula for volume is:
$V=\pi r^2 h$
Isolate $r$.
$r=\sqrt{\frac{V}{\pi h}}$
Plug all values.
$r=\sqrt{\frac{25.3\; in^3}{\pi (10\; in)}}$
Simplify.
$r=0.89739846893\; in$
Diameter $d=2r$.
$d=2(0.89739846893\; in)$
$d=1.79479693787\; in$
Rounded to two decimal places.
$d=1.79\; in$.
