Answer
$8.792 cm^3$
Work Step by Step
Volume can be calculated as: $V=\pi r^2 h$
The differential form of the given function can be calculated as follows:
$dV=(\dfrac{\partial V}{\partial r}) dr + (\dfrac{\partial V}{\partial h}) dh$
This implies that
$dV=[ 2 \pi r h] dr+[ \pi r^2] dh$
$dV=2 \pi \times 2 \times 10 \times (0.05)+4 \times (0.2)$
or, $dV=2 \times 3.14 \times 2 \times 10 \times (0.05)+4 \times (0.2)$
Hence, $dV=\dfrac{14 \pi}{5} cm^3=8.792 cm^3$
