Answer
$56.5 \; in^3$.
Work Step by Step
The given values are
Inner radius $r_1=4.00\;in$.
Outer radius $r_2=5.00 \;in$.
Height $h=2.00\;in$.
The formula for volume is:
$V=\pi r^2 h$
$V=\pi r_1^2h$
Plug values into the formula.
$V=\pi (4.00\; in)^2(2.00\; in)$
Simplify.
$V=32\pi \; in^3$
$V=\pi r_2^2h$
Plug values into the formula.
$V=\pi (5.00\; in)^2(2.00\; in)$
Simplify.
$V=50\pi \; in^3$
$V=$ outer volume $-$ inner volume.
$=50\pi \; in^3- 32\pi \; in^3 $
$=(50-32)\pi \; in^3$
$=18\pi \; in^3$
Simplify (rounded to one decimal place).
$=56.5 \; in^3$.
